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Finding the Fourth Proportional to 823,097.70, 1,153,124.10 and 823,097.70

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Solution

The fourth proportional to 823,097.70, 1,153,124.10 and 823,097.70 is: 1,153,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,097.70 : 1,153,124.10 = 823,097.70 : x
  2. Step 2: Convert to fraction form
    823,097.70/1,153,124.10 = 823,097.70/x
  3. Step 3: Cross multiply
    823,097.70x = 1,153,124.10 × 823,097.70
  4. Step 4: Simplify right side
    823,097.70x = 949,133,794,524.57
  5. Step 5: Solve for x
    x = 949,133,794,524.57/823,097.70
  6. Step 6: Final answer
    x = 1,153,124.10

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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.