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Finding the Fourth Proportional to 457,824.80, 686,737.20 and 434,496.80

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Solution

The fourth proportional to 457,824.80, 686,737.20 and 434,496.80 is: 651,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,824.80 : 686,737.20 = 434,496.80 : x
  2. Step 2: Convert to fraction form
    457,824.80/686,737.20 = 434,496.80/x
  3. Step 3: Cross multiply
    457,824.80x = 686,737.20 × 434,496.80
  4. Step 4: Simplify right side
    457,824.80x = 298,385,115,840.96
  5. Step 5: Solve for x
    x = 298,385,115,840.96/457,824.80
  6. Step 6: Final answer
    x = 651,745.20

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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.