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Finding the Fourth Proportional to 469,163.67, 647,818.52 and 433,340.61

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Solution

The fourth proportional to 469,163.67, 647,818.52 and 433,340.61 is: 598,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,163.67 : 647,818.52 = 433,340.61 : x
  2. Step 2: Convert to fraction form
    469,163.67/647,818.52 = 433,340.61/x
  3. Step 3: Cross multiply
    469,163.67x = 647,818.52 × 433,340.61
  4. Step 4: Simplify right side
    469,163.67x = 280,726,072,626.10
  5. Step 5: Solve for x
    x = 280,726,072,626.10/469,163.67
  6. Step 6: Final answer
    x = 598,354.24

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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.