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Finding the Fourth Proportional to 431,947.20, 647,920.80 and 207,269.40

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Solution

The fourth proportional to 431,947.20, 647,920.80 and 207,269.40 is: 310,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,947.20 : 647,920.80 = 207,269.40 : x
  2. Step 2: Convert to fraction form
    431,947.20/647,920.80 = 207,269.40/x
  3. Step 3: Cross multiply
    431,947.20x = 647,920.80 × 207,269.40
  4. Step 4: Simplify right side
    431,947.20x = 134,294,155,463.52
  5. Step 5: Solve for x
    x = 134,294,155,463.52/431,947.20
  6. Step 6: Final answer
    x = 310,904.10

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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.