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Finding the Fourth Proportional to 402,961.76, 556,105.92 and 233,162.96

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Solution

The fourth proportional to 402,961.76, 556,105.92 and 233,162.96 is: 321,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,961.76 : 556,105.92 = 233,162.96 : x
  2. Step 2: Convert to fraction form
    402,961.76/556,105.92 = 233,162.96/x
  3. Step 3: Cross multiply
    402,961.76x = 556,105.92 × 233,162.96
  4. Step 4: Simplify right side
    402,961.76x = 129,663,302,380.72
  5. Step 5: Solve for x
    x = 129,663,302,380.72/402,961.76
  6. Step 6: Final answer
    x = 321,775.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.