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Finding the Fourth Proportional to 433,952.38, 650,932.89 and 209,260.54

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Solution

The fourth proportional to 433,952.38, 650,932.89 and 209,260.54 is: 313,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,952.38 : 650,932.89 = 209,260.54 : x
  2. Step 2: Convert to fraction form
    433,952.38/650,932.89 = 209,260.54/x
  3. Step 3: Cross multiply
    433,952.38x = 650,932.89 × 209,260.54
  4. Step 4: Simplify right side
    433,952.38x = 136,214,568,065.16
  5. Step 5: Solve for x
    x = 136,214,568,065.16/433,952.38
  6. Step 6: Final answer
    x = 313,892.89

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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.