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Finding the Fourth Proportional to 466,610.90, 698,604.15 and 419,371.70

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Solution

The fourth proportional to 466,610.90, 698,604.15 and 419,371.70 is: 627,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,610.90 : 698,604.15 = 419,371.70 : x
  2. Step 2: Convert to fraction form
    466,610.90/698,604.15 = 419,371.70/x
  3. Step 3: Cross multiply
    466,610.90x = 698,604.15 × 419,371.70
  4. Step 4: Simplify right side
    466,610.90x = 292,974,810,012.56
  5. Step 5: Solve for x
    x = 292,974,810,012.56/466,610.90
  6. Step 6: Final answer
    x = 627,878.20

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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.