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Finding the Fourth Proportional to 283,838.31, 391,791.78 and 169,152.93

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Solution

The fourth proportional to 283,838.31, 391,791.78 and 169,152.93 is: 233,487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,838.31 : 391,791.78 = 169,152.93 : x
  2. Step 2: Convert to fraction form
    283,838.31/391,791.78 = 169,152.93/x
  3. Step 3: Cross multiply
    283,838.31x = 391,791.78 × 169,152.93
  4. Step 4: Simplify right side
    283,838.31x = 66,272,727,536.92
  5. Step 5: Solve for x
    x = 66,272,727,536.92/283,838.31
  6. Step 6: Final answer
    x = 233,487.61

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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.