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Finding the Fourth Proportional to 296,060.57, 408,562.87 and 166,998.61

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Solution

The fourth proportional to 296,060.57, 408,562.87 and 166,998.61 is: 230,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,060.57 : 408,562.87 = 166,998.61 : x
  2. Step 2: Convert to fraction form
    296,060.57/408,562.87 = 166,998.61/x
  3. Step 3: Cross multiply
    296,060.57x = 408,562.87 × 166,998.61
  4. Step 4: Simplify right side
    296,060.57x = 68,229,428,509.80
  5. Step 5: Solve for x
    x = 68,229,428,509.80/296,060.57
  6. Step 6: Final answer
    x = 230,457.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.