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Finding the Fourth Proportional to 514,691.72, 772,087.46 and 159,610.40

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Solution

The fourth proportional to 514,691.72, 772,087.46 and 159,610.40 is: 239,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,691.72 : 772,087.46 = 159,610.40 : x
  2. Step 2: Convert to fraction form
    514,691.72/772,087.46 = 159,610.40/x
  3. Step 3: Cross multiply
    514,691.72x = 772,087.46 × 159,610.40
  4. Step 4: Simplify right side
    514,691.72x = 123,233,184,864.17
  5. Step 5: Solve for x
    x = 123,233,184,864.17/514,691.72
  6. Step 6: Final answer
    x = 239,431.06

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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.