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Finding the Fourth Proportional to 410,576.67, 566,590.10 and 238,591.80

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Solution

The fourth proportional to 410,576.67, 566,590.10 and 238,591.80 is: 329,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,576.67 : 566,590.10 = 238,591.80 : x
  2. Step 2: Convert to fraction form
    410,576.67/566,590.10 = 238,591.80/x
  3. Step 3: Cross multiply
    410,576.67x = 566,590.10 × 238,591.80
  4. Step 4: Simplify right side
    410,576.67x = 135,183,750,628.22
  5. Step 5: Solve for x
    x = 135,183,750,628.22/410,576.67
  6. Step 6: Final answer
    x = 329,253.37

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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.