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Finding the Fourth Proportional to 472,337.80, 708,053.10 and 156,632.20

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Solution

The fourth proportional to 472,337.80, 708,053.10 and 156,632.20 is: 234,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,337.80 : 708,053.10 = 156,632.20 : x
  2. Step 2: Convert to fraction form
    472,337.80/708,053.10 = 156,632.20/x
  3. Step 3: Cross multiply
    472,337.80x = 708,053.10 × 156,632.20
  4. Step 4: Simplify right side
    472,337.80x = 110,903,914,769.82
  5. Step 5: Solve for x
    x = 110,903,914,769.82/472,337.80
  6. Step 6: Final answer
    x = 234,797.88

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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.