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Finding the Fourth Proportional to 465,229.92, 696,782.16 and 277,857.12

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Solution

The fourth proportional to 465,229.92, 696,782.16 and 277,857.12 is: 416,150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,229.92 : 696,782.16 = 277,857.12 : x
  2. Step 2: Convert to fraction form
    465,229.92/696,782.16 = 277,857.12/x
  3. Step 3: Cross multiply
    465,229.92x = 696,782.16 × 277,857.12
  4. Step 4: Simplify right side
    465,229.92x = 193,605,884,244.98
  5. Step 5: Solve for x
    x = 193,605,884,244.98/465,229.92
  6. Step 6: Final answer
    x = 416,150.97

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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.