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Finding the Fourth Proportional to 433,224.60, 650,156.22 and 205,520.96

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Solution

The fourth proportional to 433,224.60, 650,156.22 and 205,520.96 is: 308,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,224.60 : 650,156.22 = 205,520.96 : x
  2. Step 2: Convert to fraction form
    433,224.60/650,156.22 = 205,520.96/x
  3. Step 3: Cross multiply
    433,224.60x = 650,156.22 × 205,520.96
  4. Step 4: Simplify right side
    433,224.60x = 133,620,727,233.59
  5. Step 5: Solve for x
    x = 133,620,727,233.59/433,224.60
  6. Step 6: Final answer
    x = 308,432.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.