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Finding the Fourth Proportional to 502,896.84, 754,183.92 and 165,861.72

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Solution

The fourth proportional to 502,896.84, 754,183.92 and 165,861.72 is: 248,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,896.84 : 754,183.92 = 165,861.72 : x
  2. Step 2: Convert to fraction form
    502,896.84/754,183.92 = 165,861.72/x
  3. Step 3: Cross multiply
    502,896.84x = 754,183.92 × 165,861.72
  4. Step 4: Simplify right side
    502,896.84x = 125,090,242,167.54
  5. Step 5: Solve for x
    x = 125,090,242,167.54/502,896.84
  6. Step 6: Final answer
    x = 248,739.37

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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.