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Finding the Fourth Proportional to 457,745.20, 686,617.80 and 388,625.20

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Solution

The fourth proportional to 457,745.20, 686,617.80 and 388,625.20 is: 582,937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,745.20 : 686,617.80 = 388,625.20 : x
  2. Step 2: Convert to fraction form
    457,745.20/686,617.80 = 388,625.20/x
  3. Step 3: Cross multiply
    457,745.20x = 686,617.80 × 388,625.20
  4. Step 4: Simplify right side
    457,745.20x = 266,836,979,848.56
  5. Step 5: Solve for x
    x = 266,836,979,848.56/457,745.20
  6. Step 6: Final answer
    x = 582,937.80

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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.