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Finding the Fourth Proportional to 472,230.92, 707,347.58 and 381,885.96

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Solution

The fourth proportional to 472,230.92, 707,347.58 and 381,885.96 is: 572,021.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,230.92 : 707,347.58 = 381,885.96 : x
  2. Step 2: Convert to fraction form
    472,230.92/707,347.58 = 381,885.96/x
  3. Step 3: Cross multiply
    472,230.92x = 707,347.58 × 381,885.96
  4. Step 4: Simplify right side
    472,230.92x = 270,126,109,641.98
  5. Step 5: Solve for x
    x = 270,126,109,641.98/472,230.92
  6. Step 6: Final answer
    x = 572,021.23

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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.