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Finding the Fourth Proportional to 457,920.80, 686,881.20 and 205,200.80

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Solution

The fourth proportional to 457,920.80, 686,881.20 and 205,200.80 is: 307,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,920.80 : 686,881.20 = 205,200.80 : x
  2. Step 2: Convert to fraction form
    457,920.80/686,881.20 = 205,200.80/x
  3. Step 3: Cross multiply
    457,920.80x = 686,881.20 × 205,200.80
  4. Step 4: Simplify right side
    457,920.80x = 140,948,571,744.96
  5. Step 5: Solve for x
    x = 140,948,571,744.96/457,920.80
  6. Step 6: Final answer
    x = 307,801.20

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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.