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Finding the Fourth Proportional to 361,487.71, 498,853.08 and 200,353.16

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Solution

The fourth proportional to 361,487.71, 498,853.08 and 200,353.16 is: 276,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,487.71 : 498,853.08 = 200,353.16 : x
  2. Step 2: Convert to fraction form
    361,487.71/498,853.08 = 200,353.16/x
  3. Step 3: Cross multiply
    361,487.71x = 498,853.08 × 200,353.16
  4. Step 4: Simplify right side
    361,487.71x = 99,946,790,082.26
  5. Step 5: Solve for x
    x = 99,946,790,082.26/361,487.71
  6. Step 6: Final answer
    x = 276,487.38

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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.