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Finding the Fourth Proportional to 277,628.46, 416,609.29 and 119,856.76

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Solution

The fourth proportional to 277,628.46, 416,609.29 and 119,856.76 is: 179,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,628.46 : 416,609.29 = 119,856.76 : x
  2. Step 2: Convert to fraction form
    277,628.46/416,609.29 = 119,856.76/x
  3. Step 3: Cross multiply
    277,628.46x = 416,609.29 × 119,856.76
  4. Step 4: Simplify right side
    277,628.46x = 49,933,438,793.60
  5. Step 5: Solve for x
    x = 49,933,438,793.60/277,628.46
  6. Step 6: Final answer
    x = 179,857.06

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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.