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Finding the Fourth Proportional to 410,352.44, 566,542.40 and 265,234.20

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Solution

The fourth proportional to 410,352.44, 566,542.40 and 265,234.20 is: 366,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,352.44 : 566,542.40 = 265,234.20 : x
  2. Step 2: Convert to fraction form
    410,352.44/566,542.40 = 265,234.20/x
  3. Step 3: Cross multiply
    410,352.44x = 566,542.40 × 265,234.20
  4. Step 4: Simplify right side
    410,352.44x = 150,266,420,230.08
  5. Step 5: Solve for x
    x = 150,266,420,230.08/410,352.44
  6. Step 6: Final answer
    x = 366,188.68

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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.