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Finding the Fourth Proportional to 458,806.56, 687,945.24 and 177,995.76

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Solution

The fourth proportional to 458,806.56, 687,945.24 and 177,995.76 is: 266,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,806.56 : 687,945.24 = 177,995.76 : x
  2. Step 2: Convert to fraction form
    458,806.56/687,945.24 = 177,995.76/x
  3. Step 3: Cross multiply
    458,806.56x = 687,945.24 × 177,995.76
  4. Step 4: Simplify right side
    458,806.56x = 122,451,335,832.18
  5. Step 5: Solve for x
    x = 122,451,335,832.18/458,806.56
  6. Step 6: Final answer
    x = 266,890.99

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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.