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Finding the Fourth Proportional to 465,861.60, 698,792.40 and 318,405.60

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Solution

The fourth proportional to 465,861.60, 698,792.40 and 318,405.60 is: 477,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,861.60 : 698,792.40 = 318,405.60 : x
  2. Step 2: Convert to fraction form
    465,861.60/698,792.40 = 318,405.60/x
  3. Step 3: Cross multiply
    465,861.60x = 698,792.40 × 318,405.60
  4. Step 4: Simplify right side
    465,861.60x = 222,499,413,397.44
  5. Step 5: Solve for x
    x = 222,499,413,397.44/465,861.60
  6. Step 6: Final answer
    x = 477,608.40

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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.