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Finding the Fourth Proportional to 472,010.10, 707,752.68 and 156,294.78

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Solution

The fourth proportional to 472,010.10, 707,752.68 and 156,294.78 is: 234,355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,010.10 : 707,752.68 = 156,294.78 : x
  2. Step 2: Convert to fraction form
    472,010.10/707,752.68 = 156,294.78/x
  3. Step 3: Cross multiply
    472,010.10x = 707,752.68 × 156,294.78
  4. Step 4: Simplify right side
    472,010.10x = 110,618,049,415.01
  5. Step 5: Solve for x
    x = 110,618,049,415.01/472,010.10
  6. Step 6: Final answer
    x = 234,355.26

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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.