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Finding the Fourth Proportional to 511,732.20, 767,655.90 and 156,743.40

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Solution

The fourth proportional to 511,732.20, 767,655.90 and 156,743.40 is: 235,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,732.20 : 767,655.90 = 156,743.40 : x
  2. Step 2: Convert to fraction form
    511,732.20/767,655.90 = 156,743.40/x
  3. Step 3: Cross multiply
    511,732.20x = 767,655.90 × 156,743.40
  4. Step 4: Simplify right side
    511,732.20x = 120,324,995,796.06
  5. Step 5: Solve for x
    x = 120,324,995,796.06/511,732.20
  6. Step 6: Final answer
    x = 235,132.74

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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.