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Finding the Fourth Proportional to 410,975.92, 567,144.75 and 229,687.66

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Solution

The fourth proportional to 410,975.92, 567,144.75 and 229,687.66 is: 316,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,975.92 : 567,144.75 = 229,687.66 : x
  2. Step 2: Convert to fraction form
    410,975.92/567,144.75 = 229,687.66/x
  3. Step 3: Cross multiply
    410,975.92x = 567,144.75 × 229,687.66
  4. Step 4: Simplify right side
    410,975.92x = 130,266,150,508.79
  5. Step 5: Solve for x
    x = 130,266,150,508.79/410,975.92
  6. Step 6: Final answer
    x = 316,967.84

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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.