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Finding the Fourth Proportional to 398,909.71, 550,495.38 and 229,143.79

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Solution

The fourth proportional to 398,909.71, 550,495.38 and 229,143.79 is: 316,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,909.71 : 550,495.38 = 229,143.79 : x
  2. Step 2: Convert to fraction form
    398,909.71/550,495.38 = 229,143.79/x
  3. Step 3: Cross multiply
    398,909.71x = 550,495.38 × 229,143.79
  4. Step 4: Simplify right side
    398,909.71x = 126,142,597,750.69
  5. Step 5: Solve for x
    x = 126,142,597,750.69/398,909.71
  6. Step 6: Final answer
    x = 316,218.42

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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.