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Finding the Fourth Proportional to 431,805.60, 647,708.40 and 400,312.80

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Solution

The fourth proportional to 431,805.60, 647,708.40 and 400,312.80 is: 600,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,805.60 : 647,708.40 = 400,312.80 : x
  2. Step 2: Convert to fraction form
    431,805.60/647,708.40 = 400,312.80/x
  3. Step 3: Cross multiply
    431,805.60x = 647,708.40 × 400,312.80
  4. Step 4: Simplify right side
    431,805.60x = 259,285,963,187.52
  5. Step 5: Solve for x
    x = 259,285,963,187.52/431,805.60
  6. Step 6: Final answer
    x = 600,469.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.