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Finding the Fourth Proportional to 433,043.68, 649,506.24 and 129,433.60

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Solution

The fourth proportional to 433,043.68, 649,506.24 and 129,433.60 is: 194,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,043.68 : 649,506.24 = 129,433.60 : x
  2. Step 2: Convert to fraction form
    433,043.68/649,506.24 = 129,433.60/x
  3. Step 3: Cross multiply
    433,043.68x = 649,506.24 × 129,433.60
  4. Step 4: Simplify right side
    433,043.68x = 84,067,930,865.66
  5. Step 5: Solve for x
    x = 84,067,930,865.66/433,043.68
  6. Step 6: Final answer
    x = 194,132.68

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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.