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Finding the Fourth Proportional to 410,539.38, 566,533.33 and 229,246.26

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Solution

The fourth proportional to 410,539.38, 566,533.33 and 229,246.26 is: 316,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,539.38 : 566,533.33 = 229,246.26 : x
  2. Step 2: Convert to fraction form
    410,539.38/566,533.33 = 229,246.26/x
  3. Step 3: Cross multiply
    410,539.38x = 566,533.33 × 229,246.26
  4. Step 4: Simplify right side
    410,539.38x = 129,875,647,067.85
  5. Step 5: Solve for x
    x = 129,875,647,067.85/410,539.38
  6. Step 6: Final answer
    x = 316,353.69

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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.