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Finding the Fourth Proportional to 472,472.80, 708,255.60 and 156,767.20

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Solution

The fourth proportional to 472,472.80, 708,255.60 and 156,767.20 is: 235,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,472.80 : 708,255.60 = 156,767.20 : x
  2. Step 2: Convert to fraction form
    472,472.80/708,255.60 = 156,767.20/x
  3. Step 3: Cross multiply
    472,472.80x = 708,255.60 × 156,767.20
  4. Step 4: Simplify right side
    472,472.80x = 111,031,247,296.32
  5. Step 5: Solve for x
    x = 111,031,247,296.32/472,472.80
  6. Step 6: Final answer
    x = 235,000.29

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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.