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Finding the Fourth Proportional to 361,345.73, 498,650.65 and 200,197.55

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Solution

The fourth proportional to 361,345.73, 498,650.65 and 200,197.55 is: 276,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,345.73 : 498,650.65 = 200,197.55 : x
  2. Step 2: Convert to fraction form
    361,345.73/498,650.65 = 200,197.55/x
  3. Step 3: Cross multiply
    361,345.73x = 498,650.65 × 200,197.55
  4. Step 4: Simplify right side
    361,345.73x = 99,828,639,182.04
  5. Step 5: Solve for x
    x = 99,828,639,182.04/361,345.73
  6. Step 6: Final answer
    x = 276,269.05

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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.