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Finding the Fourth Proportional to 567,338.40, 851,007.60 and 465,861.60

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Solution

The fourth proportional to 567,338.40, 851,007.60 and 465,861.60 is: 698,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,338.40 : 851,007.60 = 465,861.60 : x
  2. Step 2: Convert to fraction form
    567,338.40/851,007.60 = 465,861.60/x
  3. Step 3: Cross multiply
    567,338.40x = 851,007.60 × 465,861.60
  4. Step 4: Simplify right side
    567,338.40x = 396,451,762,148.16
  5. Step 5: Solve for x
    x = 396,451,762,148.16/567,338.40
  6. Step 6: Final answer
    x = 698,792.40

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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.