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Finding the Fourth Proportional to 472,301.81, 708,553.35 and 152,471.85

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Solution

The fourth proportional to 472,301.81, 708,553.35 and 152,471.85 is: 228,740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,301.81 : 708,553.35 = 152,471.85 : x
  2. Step 2: Convert to fraction form
    472,301.81/708,553.35 = 152,471.85/x
  3. Step 3: Cross multiply
    472,301.81x = 708,553.35 × 152,471.85
  4. Step 4: Simplify right side
    472,301.81x = 108,034,440,098.20
  5. Step 5: Solve for x
    x = 108,034,440,098.20/472,301.81
  6. Step 6: Final answer
    x = 228,740.27

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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.