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Finding the Fourth Proportional to 326,140.62, 449,882.91 and 205,089.90

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Solution

The fourth proportional to 326,140.62, 449,882.91 and 205,089.90 is: 282,903.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,140.62 : 449,882.91 = 205,089.90 : x
  2. Step 2: Convert to fraction form
    326,140.62/449,882.91 = 205,089.90/x
  3. Step 3: Cross multiply
    326,140.62x = 449,882.91 × 205,089.90
  4. Step 4: Simplify right side
    326,140.62x = 92,266,441,023.61
  5. Step 5: Solve for x
    x = 92,266,441,023.61/326,140.62
  6. Step 6: Final answer
    x = 282,903.86

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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.