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Finding the Fourth Proportional to 293,459.85, 404,976.78 and 166,132.71

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Solution

The fourth proportional to 293,459.85, 404,976.78 and 166,132.71 is: 229,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,459.85 : 404,976.78 = 166,132.71 : x
  2. Step 2: Convert to fraction form
    293,459.85/404,976.78 = 166,132.71/x
  3. Step 3: Cross multiply
    293,459.85x = 404,976.78 × 166,132.71
  4. Step 4: Simplify right side
    293,459.85x = 67,279,889,948.47
  5. Step 5: Solve for x
    x = 67,279,889,948.47/293,459.85
  6. Step 6: Final answer
    x = 229,264.38

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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.