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Finding the Fourth Proportional to 433,301.73, 649,950.78 and 117,757.74

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Solution

The fourth proportional to 433,301.73, 649,950.78 and 117,757.74 is: 176,636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,301.73 : 649,950.78 = 117,757.74 : x
  2. Step 2: Convert to fraction form
    433,301.73/649,950.78 = 117,757.74/x
  3. Step 3: Cross multiply
    433,301.73x = 649,950.78 × 117,757.74
  4. Step 4: Simplify right side
    433,301.73x = 76,536,734,964.04
  5. Step 5: Solve for x
    x = 76,536,734,964.04/433,301.73
  6. Step 6: Final answer
    x = 176,636.12

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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.