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Finding the Fourth Proportional to 551,432.80, 827,302.80 and 270,959.20

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Solution

The fourth proportional to 551,432.80, 827,302.80 and 270,959.20 is: 406,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,432.80 : 827,302.80 = 270,959.20 : x
  2. Step 2: Convert to fraction form
    551,432.80/827,302.80 = 270,959.20/x
  3. Step 3: Cross multiply
    551,432.80x = 827,302.80 × 270,959.20
  4. Step 4: Simplify right side
    551,432.80x = 224,165,304,845.76
  5. Step 5: Solve for x
    x = 224,165,304,845.76/551,432.80
  6. Step 6: Final answer
    x = 406,514.27

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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.