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Finding the Fourth Proportional to 431,340.80, 647,011.20 and 218,764.40

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Solution

The fourth proportional to 431,340.80, 647,011.20 and 218,764.40 is: 328,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,340.80 : 647,011.20 = 218,764.40 : x
  2. Step 2: Convert to fraction form
    431,340.80/647,011.20 = 218,764.40/x
  3. Step 3: Cross multiply
    431,340.80x = 647,011.20 × 218,764.40
  4. Step 4: Simplify right side
    431,340.80x = 141,543,016,961.28
  5. Step 5: Solve for x
    x = 141,543,016,961.28/431,340.80
  6. Step 6: Final answer
    x = 328,146.60

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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.