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Finding the Fourth Proportional to 361,488.71, 498,854.46 and 200,354.16

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Solution

The fourth proportional to 361,488.71, 498,854.46 and 200,354.16 is: 276,488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,488.71 : 498,854.46 = 200,354.16 : x
  2. Step 2: Convert to fraction form
    361,488.71/498,854.46 = 200,354.16/x
  3. Step 3: Cross multiply
    361,488.71x = 498,854.46 × 200,354.16
  4. Step 4: Simplify right side
    361,488.71x = 99,947,565,549.30
  5. Step 5: Solve for x
    x = 99,947,565,549.30/361,488.71
  6. Step 6: Final answer
    x = 276,488.76

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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.