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Finding the Fourth Proportional to 442,446.48, 663,891.23 and 202,559.92

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Solution

The fourth proportional to 442,446.48, 663,891.23 and 202,559.92 is: 303,941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,446.48 : 663,891.23 = 202,559.92 : x
  2. Step 2: Convert to fraction form
    442,446.48/663,891.23 = 202,559.92/x
  3. Step 3: Cross multiply
    442,446.48x = 663,891.23 × 202,559.92
  4. Step 4: Simplify right side
    442,446.48x = 134,477,753,284.17
  5. Step 5: Solve for x
    x = 134,477,753,284.17/442,446.48
  6. Step 6: Final answer
    x = 303,941.29

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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.