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Finding the Fourth Proportional to 432,247.68, 647,826.12 and 219,069.20

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Solution

The fourth proportional to 432,247.68, 647,826.12 and 219,069.20 is: 328,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,247.68 : 647,826.12 = 219,069.20 : x
  2. Step 2: Convert to fraction form
    432,247.68/647,826.12 = 219,069.20/x
  3. Step 3: Cross multiply
    432,247.68x = 647,826.12 × 219,069.20
  4. Step 4: Simplify right side
    432,247.68x = 141,918,749,847.50
  5. Step 5: Solve for x
    x = 141,918,749,847.50/432,247.68
  6. Step 6: Final answer
    x = 328,327.38

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