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Finding the Fourth Proportional to 458,137.80, 686,040.30 and 437,142.60

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Solution

The fourth proportional to 458,137.80, 686,040.30 and 437,142.60 is: 654,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,137.80 : 686,040.30 = 437,142.60 : x
  2. Step 2: Convert to fraction form
    458,137.80/686,040.30 = 437,142.60/x
  3. Step 3: Cross multiply
    458,137.80x = 686,040.30 × 437,142.60
  4. Step 4: Simplify right side
    458,137.80x = 299,897,440,446.78
  5. Step 5: Solve for x
    x = 299,897,440,446.78/458,137.80
  6. Step 6: Final answer
    x = 654,600.95

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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.