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Finding the Fourth Proportional to 477,924.72, 717,010.08 and 140,951.76

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Solution

The fourth proportional to 477,924.72, 717,010.08 and 140,951.76 is: 211,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,924.72 : 717,010.08 = 140,951.76 : x
  2. Step 2: Convert to fraction form
    477,924.72/717,010.08 = 140,951.76/x
  3. Step 3: Cross multiply
    477,924.72x = 717,010.08 × 140,951.76
  4. Step 4: Simplify right side
    477,924.72x = 101,063,832,713.74
  5. Step 5: Solve for x
    x = 101,063,832,713.74/477,924.72
  6. Step 6: Final answer
    x = 211,463.92

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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.