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Finding the Fourth Proportional to 285,418.20, 428,127.30 and 85,769.40

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Solution

The fourth proportional to 285,418.20, 428,127.30 and 85,769.40 is: 128,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,418.20 : 428,127.30 = 85,769.40 : x
  2. Step 2: Convert to fraction form
    285,418.20/428,127.30 = 85,769.40/x
  3. Step 3: Cross multiply
    285,418.20x = 428,127.30 × 85,769.40
  4. Step 4: Simplify right side
    285,418.20x = 36,720,221,644.62
  5. Step 5: Solve for x
    x = 36,720,221,644.62/285,418.20
  6. Step 6: Final answer
    x = 128,654.10

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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.