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Finding the Fourth Proportional to 493,614.92, 739,862.65 and 226,824.16

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Solution

The fourth proportional to 493,614.92, 739,862.65 and 226,824.16 is: 339,979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,614.92 : 739,862.65 = 226,824.16 : x
  2. Step 2: Convert to fraction form
    493,614.92/739,862.65 = 226,824.16/x
  3. Step 3: Cross multiply
    493,614.92x = 739,862.65 × 226,824.16
  4. Step 4: Simplify right side
    493,614.92x = 167,818,723,534.56
  5. Step 5: Solve for x
    x = 167,818,723,534.56/493,614.92
  6. Step 6: Final answer
    x = 339,979.03

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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.