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Finding the Fourth Proportional to 457,967.20, 686,950.80 and 408,978.40

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Solution

The fourth proportional to 457,967.20, 686,950.80 and 408,978.40 is: 613,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,967.20 : 686,950.80 = 408,978.40 : x
  2. Step 2: Convert to fraction form
    457,967.20/686,950.80 = 408,978.40/x
  3. Step 3: Cross multiply
    457,967.20x = 686,950.80 × 408,978.40
  4. Step 4: Simplify right side
    457,967.20x = 280,948,039,062.72
  5. Step 5: Solve for x
    x = 280,948,039,062.72/457,967.20
  6. Step 6: Final answer
    x = 613,467.60

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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.