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Finding the Fourth Proportional to 347,714.32, 521,545.56 and 111,082

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Solution

The fourth proportional to 347,714.32, 521,545.56 and 111,082 is: 166,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,714.32 : 521,545.56 = 111,082 : x
  2. Step 2: Convert to fraction form
    347,714.32/521,545.56 = 111,082/x
  3. Step 3: Cross multiply
    347,714.32x = 521,545.56 × 111,082
  4. Step 4: Simplify right side
    347,714.32x = 57,934,323,895.92
  5. Step 5: Solve for x
    x = 57,934,323,895.92/347,714.32
  6. Step 6: Final answer
    x = 166,614.72

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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.