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Finding the Fourth Proportional to 437,866.10, 656,799.15 and 157,411.70

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Solution

The fourth proportional to 437,866.10, 656,799.15 and 157,411.70 is: 236,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,866.10 : 656,799.15 = 157,411.70 : x
  2. Step 2: Convert to fraction form
    437,866.10/656,799.15 = 157,411.70/x
  3. Step 3: Cross multiply
    437,866.10x = 656,799.15 × 157,411.70
  4. Step 4: Simplify right side
    437,866.10x = 103,387,870,760.06
  5. Step 5: Solve for x
    x = 103,387,870,760.06/437,866.10
  6. Step 6: Final answer
    x = 236,117.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.