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Finding the Fourth Proportional to 431,695.80, 647,543.70 and 398,518.20

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Solution

The fourth proportional to 431,695.80, 647,543.70 and 398,518.20 is: 597,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,695.80 : 647,543.70 = 398,518.20 : x
  2. Step 2: Convert to fraction form
    431,695.80/647,543.70 = 398,518.20/x
  3. Step 3: Cross multiply
    431,695.80x = 647,543.70 × 398,518.20
  4. Step 4: Simplify right side
    431,695.80x = 258,057,949,745.34
  5. Step 5: Solve for x
    x = 258,057,949,745.34/431,695.80
  6. Step 6: Final answer
    x = 597,777.30

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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.