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Finding the Fourth Proportional to 296,169.68, 408,723.54 and 162,033.68

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Solution

The fourth proportional to 296,169.68, 408,723.54 and 162,033.68 is: 223,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,169.68 : 408,723.54 = 162,033.68 : x
  2. Step 2: Convert to fraction form
    296,169.68/408,723.54 = 162,033.68/x
  3. Step 3: Cross multiply
    296,169.68x = 408,723.54 × 162,033.68
  4. Step 4: Simplify right side
    296,169.68x = 66,226,979,288.83
  5. Step 5: Solve for x
    x = 66,226,979,288.83/296,169.68
  6. Step 6: Final answer
    x = 223,611.61

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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.