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Finding the Fourth Proportional to 502,879.56, 754,158.90 and 165,857.16

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Solution

The fourth proportional to 502,879.56, 754,158.90 and 165,857.16 is: 248,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,879.56 : 754,158.90 = 165,857.16 : x
  2. Step 2: Convert to fraction form
    502,879.56/754,158.90 = 165,857.16/x
  3. Step 3: Cross multiply
    502,879.56x = 754,158.90 × 165,857.16
  4. Step 4: Simplify right side
    502,879.56x = 125,082,653,342.72
  5. Step 5: Solve for x
    x = 125,082,653,342.72/502,879.56
  6. Step 6: Final answer
    x = 248,732.82

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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.