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Finding the Fourth Proportional to 312,553.69, 431,327.09 and 169,316.83

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Solution

The fourth proportional to 312,553.69, 431,327.09 and 169,316.83 is: 233,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,553.69 : 431,327.09 = 169,316.83 : x
  2. Step 2: Convert to fraction form
    312,553.69/431,327.09 = 169,316.83/x
  3. Step 3: Cross multiply
    312,553.69x = 431,327.09 × 169,316.83
  4. Step 4: Simplify right side
    312,553.69x = 73,030,936,534.38
  5. Step 5: Solve for x
    x = 73,030,936,534.38/312,553.69
  6. Step 6: Final answer
    x = 233,658.85

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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.