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Finding the Fourth Proportional to 457,351.20, 686,026.80 and 208,033.20

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Solution

The fourth proportional to 457,351.20, 686,026.80 and 208,033.20 is: 312,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,351.20 : 686,026.80 = 208,033.20 : x
  2. Step 2: Convert to fraction form
    457,351.20/686,026.80 = 208,033.20/x
  3. Step 3: Cross multiply
    457,351.20x = 686,026.80 × 208,033.20
  4. Step 4: Simplify right side
    457,351.20x = 142,716,350,489.76
  5. Step 5: Solve for x
    x = 142,716,350,489.76/457,351.20
  6. Step 6: Final answer
    x = 312,049.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.