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Finding the Fourth Proportional to 466,647.60, 698,221.80 and 424,657.20

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Solution

The fourth proportional to 466,647.60, 698,221.80 and 424,657.20 is: 635,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,647.60 : 698,221.80 = 424,657.20 : x
  2. Step 2: Convert to fraction form
    466,647.60/698,221.80 = 424,657.20/x
  3. Step 3: Cross multiply
    466,647.60x = 698,221.80 × 424,657.20
  4. Step 4: Simplify right side
    466,647.60x = 296,504,914,566.96
  5. Step 5: Solve for x
    x = 296,504,914,566.96/466,647.60
  6. Step 6: Final answer
    x = 635,393.63

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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.