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Finding the Fourth Proportional to 410,672.54, 566,722.08 and 229,387.02

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Solution

The fourth proportional to 410,672.54, 566,722.08 and 229,387.02 is: 316,550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,672.54 : 566,722.08 = 229,387.02 : x
  2. Step 2: Convert to fraction form
    410,672.54/566,722.08 = 229,387.02/x
  3. Step 3: Cross multiply
    410,672.54x = 566,722.08 × 229,387.02
  4. Step 4: Simplify right side
    410,672.54x = 129,998,689,099.40
  5. Step 5: Solve for x
    x = 129,998,689,099.40/410,672.54
  6. Step 6: Final answer
    x = 316,550.72

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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.