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Finding the Fourth Proportional to 823,049.20, 1,153,056.20 and 823,049.20

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Solution

The fourth proportional to 823,049.20, 1,153,056.20 and 823,049.20 is: 1,153,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,049.20 : 1,153,056.20 = 823,049.20 : x
  2. Step 2: Convert to fraction form
    823,049.20/1,153,056.20 = 823,049.20/x
  3. Step 3: Cross multiply
    823,049.20x = 1,153,056.20 × 823,049.20
  4. Step 4: Simplify right side
    823,049.20x = 949,021,982,965.04
  5. Step 5: Solve for x
    x = 949,021,982,965.04/823,049.20
  6. Step 6: Final answer
    x = 1,153,056.20

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Double scale
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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.