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Finding the Fourth Proportional to 431,729.80, 647,594.70 and 417,214.60

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Solution

The fourth proportional to 431,729.80, 647,594.70 and 417,214.60 is: 625,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,729.80 : 647,594.70 = 417,214.60 : x
  2. Step 2: Convert to fraction form
    431,729.80/647,594.70 = 417,214.60/x
  3. Step 3: Cross multiply
    431,729.80x = 647,594.70 × 417,214.60
  4. Step 4: Simplify right side
    431,729.80x = 270,185,963,722.62
  5. Step 5: Solve for x
    x = 270,185,963,722.62/431,729.80
  6. Step 6: Final answer
    x = 625,821.90

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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.