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Finding the Fourth Proportional to 468,436.40, 702,982.65 and 202,387.85

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Solution

The fourth proportional to 468,436.40, 702,982.65 and 202,387.85 is: 303,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,436.40 : 702,982.65 = 202,387.85 : x
  2. Step 2: Convert to fraction form
    468,436.40/702,982.65 = 202,387.85/x
  3. Step 3: Cross multiply
    468,436.40x = 702,982.65 × 202,387.85
  4. Step 4: Simplify right side
    468,436.40x = 142,275,147,120.80
  5. Step 5: Solve for x
    x = 142,275,147,120.80/468,436.40
  6. Step 6: Final answer
    x = 303,723.51

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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.