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Finding the Fourth Proportional to 496,345.20, 744,517.80 and 446,578.80

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Solution

The fourth proportional to 496,345.20, 744,517.80 and 446,578.80 is: 669,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,345.20 : 744,517.80 = 446,578.80 : x
  2. Step 2: Convert to fraction form
    496,345.20/744,517.80 = 446,578.80/x
  3. Step 3: Cross multiply
    496,345.20x = 744,517.80 × 446,578.80
  4. Step 4: Simplify right side
    496,345.20x = 332,485,865,702.64
  5. Step 5: Solve for x
    x = 332,485,865,702.64/496,345.20
  6. Step 6: Final answer
    x = 669,868.20

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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.