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Finding the Fourth Proportional to 433,001.88, 649,336.68 and 148,639.44

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Solution

The fourth proportional to 433,001.88, 649,336.68 and 148,639.44 is: 222,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,001.88 : 649,336.68 = 148,639.44 : x
  2. Step 2: Convert to fraction form
    433,001.88/649,336.68 = 148,639.44/x
  3. Step 3: Cross multiply
    433,001.88x = 649,336.68 × 148,639.44
  4. Step 4: Simplify right side
    433,001.88x = 96,517,040,486.66
  5. Step 5: Solve for x
    x = 96,517,040,486.66/433,001.88
  6. Step 6: Final answer
    x = 222,902.13

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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.