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Finding the Fourth Proportional to 296,379.68, 408,999.12 and 169,054.88

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Solution

The fourth proportional to 296,379.68, 408,999.12 and 169,054.88 is: 233,292.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,379.68 : 408,999.12 = 169,054.88 : x
  2. Step 2: Convert to fraction form
    296,379.68/408,999.12 = 169,054.88/x
  3. Step 3: Cross multiply
    296,379.68x = 408,999.12 × 169,054.88
  4. Step 4: Simplify right side
    296,379.68x = 69,143,297,151.71
  5. Step 5: Solve for x
    x = 69,143,297,151.71/296,379.68
  6. Step 6: Final answer
    x = 233,292.97

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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.