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Finding the Fourth Proportional to 361,386.64, 498,706.96 and 200,241.08

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Solution

The fourth proportional to 361,386.64, 498,706.96 and 200,241.08 is: 276,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,386.64 : 498,706.96 = 200,241.08 : x
  2. Step 2: Convert to fraction form
    361,386.64/498,706.96 = 200,241.08/x
  3. Step 3: Cross multiply
    361,386.64x = 498,706.96 × 200,241.08
  4. Step 4: Simplify right side
    361,386.64x = 99,861,620,273.92
  5. Step 5: Solve for x
    x = 99,861,620,273.92/361,386.64
  6. Step 6: Final answer
    x = 276,329.03

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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.