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Finding the Fourth Proportional to 431,630.80, 647,446.20 and 265,512.40

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Solution

The fourth proportional to 431,630.80, 647,446.20 and 265,512.40 is: 398,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,630.80 : 647,446.20 = 265,512.40 : x
  2. Step 2: Convert to fraction form
    431,630.80/647,446.20 = 265,512.40/x
  3. Step 3: Cross multiply
    431,630.80x = 647,446.20 × 265,512.40
  4. Step 4: Simplify right side
    431,630.80x = 171,904,994,432.88
  5. Step 5: Solve for x
    x = 171,904,994,432.88/431,630.80
  6. Step 6: Final answer
    x = 398,268.60

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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.