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Finding the Fourth Proportional to 398,397.38, 549,774.42 and 217,105.61

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Solution

The fourth proportional to 398,397.38, 549,774.42 and 217,105.61 is: 299,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,397.38 : 549,774.42 = 217,105.61 : x
  2. Step 2: Convert to fraction form
    398,397.38/549,774.42 = 217,105.61/x
  3. Step 3: Cross multiply
    398,397.38x = 549,774.42 × 217,105.61
  4. Step 4: Simplify right side
    398,397.38x = 119,359,110,816.50
  5. Step 5: Solve for x
    x = 119,359,110,816.50/398,397.38
  6. Step 6: Final answer
    x = 299,598.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.