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Finding the Fourth Proportional to 549,410.70, 824,084.13 and 165,151.26

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Solution

The fourth proportional to 549,410.70, 824,084.13 and 165,151.26 is: 247,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,410.70 : 824,084.13 = 165,151.26 : x
  2. Step 2: Convert to fraction form
    549,410.70/824,084.13 = 165,151.26/x
  3. Step 3: Cross multiply
    549,410.70x = 824,084.13 × 165,151.26
  4. Step 4: Simplify right side
    549,410.70x = 136,098,527,469.33
  5. Step 5: Solve for x
    x = 136,098,527,469.33/549,410.70
  6. Step 6: Final answer
    x = 247,717.29

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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.