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Finding the Fourth Proportional to 401,489.69, 602,043.90 and 233,061.66

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Solution

The fourth proportional to 401,489.69, 602,043.90 and 233,061.66 is: 349,481.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,489.69 : 602,043.90 = 233,061.66 : x
  2. Step 2: Convert to fraction form
    401,489.69/602,043.90 = 233,061.66/x
  3. Step 3: Cross multiply
    401,489.69x = 602,043.90 × 233,061.66
  4. Step 4: Simplify right side
    401,489.69x = 140,313,350,726.87
  5. Step 5: Solve for x
    x = 140,313,350,726.87/401,489.69
  6. Step 6: Final answer
    x = 349,481.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.