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Finding the Fourth Proportional to 398,805.38, 550,357.40 and 217,516.65

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Solution

The fourth proportional to 398,805.38, 550,357.40 and 217,516.65 is: 300,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,805.38 : 550,357.40 = 217,516.65 : x
  2. Step 2: Convert to fraction form
    398,805.38/550,357.40 = 217,516.65/x
  3. Step 3: Cross multiply
    398,805.38x = 550,357.40 × 217,516.65
  4. Step 4: Simplify right side
    398,805.38x = 119,711,897,950.71
  5. Step 5: Solve for x
    x = 119,711,897,950.71/398,805.38
  6. Step 6: Final answer
    x = 300,176.24

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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.