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Finding the Fourth Proportional to 662,969.60, 994,454.40 and 411,027.20

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Solution

The fourth proportional to 662,969.60, 994,454.40 and 411,027.20 is: 616,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,969.60 : 994,454.40 = 411,027.20 : x
  2. Step 2: Convert to fraction form
    662,969.60/994,454.40 = 411,027.20/x
  3. Step 3: Cross multiply
    662,969.60x = 994,454.40 × 411,027.20
  4. Step 4: Simplify right side
    662,969.60x = 408,747,807,559.68
  5. Step 5: Solve for x
    x = 408,747,807,559.68/662,969.60
  6. Step 6: Final answer
    x = 616,540.80

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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.