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Finding the Fourth Proportional to 410,664.91, 566,711.56 and 229,379.47

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Solution

The fourth proportional to 410,664.91, 566,711.56 and 229,379.47 is: 316,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,664.91 : 566,711.56 = 229,379.47 : x
  2. Step 2: Convert to fraction form
    410,664.91/566,711.56 = 229,379.47/x
  3. Step 3: Cross multiply
    410,664.91x = 566,711.56 × 229,379.47
  4. Step 4: Simplify right side
    410,664.91x = 129,991,997,275.67
  5. Step 5: Solve for x
    x = 129,991,997,275.67/410,664.91
  6. Step 6: Final answer
    x = 316,540.31

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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.