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Finding the Fourth Proportional to 457,891.20, 686,642.40 and 221,306.40

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Solution

The fourth proportional to 457,891.20, 686,642.40 and 221,306.40 is: 331,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,891.20 : 686,642.40 = 221,306.40 : x
  2. Step 2: Convert to fraction form
    457,891.20/686,642.40 = 221,306.40/x
  3. Step 3: Cross multiply
    457,891.20x = 686,642.40 × 221,306.40
  4. Step 4: Simplify right side
    457,891.20x = 151,958,357,631.36
  5. Step 5: Solve for x
    x = 151,958,357,631.36/457,891.20
  6. Step 6: Final answer
    x = 331,865.64

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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.