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Finding the Fourth Proportional to 466,617.60, 698,176.80 and 424,627.20

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Solution

The fourth proportional to 466,617.60, 698,176.80 and 424,627.20 is: 635,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,617.60 : 698,176.80 = 424,627.20 : x
  2. Step 2: Convert to fraction form
    466,617.60/698,176.80 = 424,627.20/x
  3. Step 3: Cross multiply
    466,617.60x = 698,176.80 × 424,627.20
  4. Step 4: Simplify right side
    466,617.60x = 296,464,859,688.96
  5. Step 5: Solve for x
    x = 296,464,859,688.96/466,617.60
  6. Step 6: Final answer
    x = 635,348.64

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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.