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Finding the Fourth Proportional to 390,337.56, 538,640.89 and 218,269.71

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Solution

The fourth proportional to 390,337.56, 538,640.89 and 218,269.71 is: 301,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,337.56 : 538,640.89 = 218,269.71 : x
  2. Step 2: Convert to fraction form
    390,337.56/538,640.89 = 218,269.71/x
  3. Step 3: Cross multiply
    390,337.56x = 538,640.89 × 218,269.71
  4. Step 4: Simplify right side
    390,337.56x = 117,568,990,854.44
  5. Step 5: Solve for x
    x = 117,568,990,854.44/390,337.56
  6. Step 6: Final answer
    x = 301,198.25

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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.