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Finding the Fourth Proportional to 435,406.44, 652,115.31 and 207,862.12

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Solution

The fourth proportional to 435,406.44, 652,115.31 and 207,862.12 is: 311,318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,406.44 : 652,115.31 = 207,862.12 : x
  2. Step 2: Convert to fraction form
    435,406.44/652,115.31 = 207,862.12/x
  3. Step 3: Cross multiply
    435,406.44x = 652,115.31 × 207,862.12
  4. Step 4: Simplify right side
    435,406.44x = 135,550,068,397.91
  5. Step 5: Solve for x
    x = 135,550,068,397.91/435,406.44
  6. Step 6: Final answer
    x = 311,318.47

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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.