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Finding the Fourth Proportional to 431,712.80, 647,569.20 and 386,223.20

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Solution

The fourth proportional to 431,712.80, 647,569.20 and 386,223.20 is: 579,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,712.80 : 647,569.20 = 386,223.20 : x
  2. Step 2: Convert to fraction form
    431,712.80/647,569.20 = 386,223.20/x
  3. Step 3: Cross multiply
    431,712.80x = 647,569.20 × 386,223.20
  4. Step 4: Simplify right side
    431,712.80x = 250,106,248,645.44
  5. Step 5: Solve for x
    x = 250,106,248,645.44/431,712.80
  6. Step 6: Final answer
    x = 579,334.80

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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.