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Finding the Fourth Proportional to 472,384.80, 708,123.60 and 156,679.20

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Solution

The fourth proportional to 472,384.80, 708,123.60 and 156,679.20 is: 234,868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,384.80 : 708,123.60 = 156,679.20 : x
  2. Step 2: Convert to fraction form
    472,384.80/708,123.60 = 156,679.20/x
  3. Step 3: Cross multiply
    472,384.80x = 708,123.60 × 156,679.20
  4. Step 4: Simplify right side
    472,384.80x = 110,948,239,149.12
  5. Step 5: Solve for x
    x = 110,948,239,149.12/472,384.80
  6. Step 6: Final answer
    x = 234,868.35

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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.