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Finding the Fourth Proportional to 823,114.20, 1,153,147.20 and 823,114.20

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Solution

The fourth proportional to 823,114.20, 1,153,147.20 and 823,114.20 is: 1,153,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,114.20 : 1,153,147.20 = 823,114.20 : x
  2. Step 2: Convert to fraction form
    823,114.20/1,153,147.20 = 823,114.20/x
  3. Step 3: Cross multiply
    823,114.20x = 1,153,147.20 × 823,114.20
  4. Step 4: Simplify right side
    823,114.20x = 949,171,835,010.24
  5. Step 5: Solve for x
    x = 949,171,835,010.24/823,114.20
  6. Step 6: Final answer
    x = 1,153,147.20

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Half scale
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Double scale
Find fourth proportional to 823,115.20, 1,153,148.60 and 823,115.20
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.