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Finding the Fourth Proportional to 431,796.80, 647,176.80 and 221,326.40

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Solution

The fourth proportional to 431,796.80, 647,176.80 and 221,326.40 is: 331,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,796.80 : 647,176.80 = 221,326.40 : x
  2. Step 2: Convert to fraction form
    431,796.80/647,176.80 = 221,326.40/x
  3. Step 3: Cross multiply
    431,796.80x = 647,176.80 × 221,326.40
  4. Step 4: Simplify right side
    431,796.80x = 143,237,311,307.52
  5. Step 5: Solve for x
    x = 143,237,311,307.52/431,796.80
  6. Step 6: Final answer
    x = 331,723.88

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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.