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Finding the Fourth Proportional to 472,231.92, 707,349.08 and 381,886.96

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Solution

The fourth proportional to 472,231.92, 707,349.08 and 381,886.96 is: 572,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,231.92 : 707,349.08 = 381,886.96 : x
  2. Step 2: Convert to fraction form
    472,231.92/707,349.08 = 381,886.96/x
  3. Step 3: Cross multiply
    472,231.92x = 707,349.08 × 381,886.96
  4. Step 4: Simplify right side
    472,231.92x = 270,127,389,820.00
  5. Step 5: Solve for x
    x = 270,127,389,820.00/472,231.92
  6. Step 6: Final answer
    x = 572,022.73

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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.