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Finding the Fourth Proportional to 496,175.90, 744,033.45 and 215,548.70

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Solution

The fourth proportional to 496,175.90, 744,033.45 and 215,548.70 is: 323,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,175.90 : 744,033.45 = 215,548.70 : x
  2. Step 2: Convert to fraction form
    496,175.90/744,033.45 = 215,548.70/x
  3. Step 3: Cross multiply
    496,175.90x = 744,033.45 × 215,548.70
  4. Step 4: Simplify right side
    496,175.90x = 160,375,442,904.02
  5. Step 5: Solve for x
    x = 160,375,442,904.02/496,175.90
  6. Step 6: Final answer
    x = 323,222.96

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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.