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Finding the Fourth Proportional to 381,730.86, 572,595.92 and 97,421.42

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Solution

The fourth proportional to 381,730.86, 572,595.92 and 97,421.42 is: 146,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,730.86 : 572,595.92 = 97,421.42 : x
  2. Step 2: Convert to fraction form
    381,730.86/572,595.92 = 97,421.42/x
  3. Step 3: Cross multiply
    381,730.86x = 572,595.92 × 97,421.42
  4. Step 4: Simplify right side
    381,730.86x = 55,783,107,612.61
  5. Step 5: Solve for x
    x = 55,783,107,612.61/381,730.86
  6. Step 6: Final answer
    x = 146,132.04

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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.