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Finding the Fourth Proportional to 472,861.92, 709,112.16 and 202,965.60

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Solution

The fourth proportional to 472,861.92, 709,112.16 and 202,965.60 is: 304,370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,861.92 : 709,112.16 = 202,965.60 : x
  2. Step 2: Convert to fraction form
    472,861.92/709,112.16 = 202,965.60/x
  3. Step 3: Cross multiply
    472,861.92x = 709,112.16 × 202,965.60
  4. Step 4: Simplify right side
    472,861.92x = 143,925,375,021.70
  5. Step 5: Solve for x
    x = 143,925,375,021.70/472,861.92
  6. Step 6: Final answer
    x = 304,370.83

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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.