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Finding the Fourth Proportional to 457,701.60, 686,552.40 and 432,040.80

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Solution

The fourth proportional to 457,701.60, 686,552.40 and 432,040.80 is: 648,061.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,701.60 : 686,552.40 = 432,040.80 : x
  2. Step 2: Convert to fraction form
    457,701.60/686,552.40 = 432,040.80/x
  3. Step 3: Cross multiply
    457,701.60x = 686,552.40 × 432,040.80
  4. Step 4: Simplify right side
    457,701.60x = 296,618,648,137.92
  5. Step 5: Solve for x
    x = 296,618,648,137.92/457,701.60
  6. Step 6: Final answer
    x = 648,061.20

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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.