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Finding the Fourth Proportional to 457,671.60, 686,701.80 and 220,892.40

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Solution

The fourth proportional to 457,671.60, 686,701.80 and 220,892.40 is: 331,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,671.60 : 686,701.80 = 220,892.40 : x
  2. Step 2: Convert to fraction form
    457,671.60/686,701.80 = 220,892.40/x
  3. Step 3: Cross multiply
    457,671.60x = 686,701.80 × 220,892.40
  4. Step 4: Simplify right side
    457,671.60x = 151,687,208,686.32
  5. Step 5: Solve for x
    x = 151,687,208,686.32/457,671.60
  6. Step 6: Final answer
    x = 331,432.43

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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.