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Finding the Fourth Proportional to 457,825.20, 686,543.40 and 221,240.40

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Solution

The fourth proportional to 457,825.20, 686,543.40 and 221,240.40 is: 331,766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,825.20 : 686,543.40 = 221,240.40 : x
  2. Step 2: Convert to fraction form
    457,825.20/686,543.40 = 221,240.40/x
  3. Step 3: Cross multiply
    457,825.20x = 686,543.40 × 221,240.40
  4. Step 4: Simplify right side
    457,825.20x = 151,891,136,433.36
  5. Step 5: Solve for x
    x = 151,891,136,433.36/457,825.20
  6. Step 6: Final answer
    x = 331,766.66

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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.