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Finding the Fourth Proportional to 431,569.20, 647,110.80 and 165,338.40

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Solution

The fourth proportional to 431,569.20, 647,110.80 and 165,338.40 is: 247,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,569.20 : 647,110.80 = 165,338.40 : x
  2. Step 2: Convert to fraction form
    431,569.20/647,110.80 = 165,338.40/x
  3. Step 3: Cross multiply
    431,569.20x = 647,110.80 × 165,338.40
  4. Step 4: Simplify right side
    431,569.20x = 106,992,264,294.72
  5. Step 5: Solve for x
    x = 106,992,264,294.72/431,569.20
  6. Step 6: Final answer
    x = 247,914.50

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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.