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Finding the Fourth Proportional to 361,332.84, 498,598.96 and 200,147.92

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Solution

The fourth proportional to 361,332.84, 498,598.96 and 200,147.92 is: 276,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,332.84 : 498,598.96 = 200,147.92 : x
  2. Step 2: Convert to fraction form
    361,332.84/498,598.96 = 200,147.92/x
  3. Step 3: Cross multiply
    361,332.84x = 498,598.96 × 200,147.92
  4. Step 4: Simplify right side
    361,332.84x = 99,793,544,758.16
  5. Step 5: Solve for x
    x = 99,793,544,758.16/361,332.84
  6. Step 6: Final answer
    x = 276,181.77

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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.