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Finding the Fourth Proportional to 472,472.30, 708,254.85 and 156,766.70

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Solution

The fourth proportional to 472,472.30, 708,254.85 and 156,766.70 is: 234,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,472.30 : 708,254.85 = 156,766.70 : x
  2. Step 2: Convert to fraction form
    472,472.30/708,254.85 = 156,766.70/x
  3. Step 3: Cross multiply
    472,472.30x = 708,254.85 × 156,766.70
  4. Step 4: Simplify right side
    472,472.30x = 111,030,775,593.50
  5. Step 5: Solve for x
    x = 111,030,775,593.50/472,472.30
  6. Step 6: Final answer
    x = 234,999.55

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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.