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Finding the Fourth Proportional to 321,856.70, 444,059.50 and 185,872.69

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Solution

The fourth proportional to 321,856.70, 444,059.50 and 185,872.69 is: 256,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,856.70 : 444,059.50 = 185,872.69 : x
  2. Step 2: Convert to fraction form
    321,856.70/444,059.50 = 185,872.69/x
  3. Step 3: Cross multiply
    321,856.70x = 444,059.50 × 185,872.69
  4. Step 4: Simplify right side
    321,856.70x = 82,538,533,785.06
  5. Step 5: Solve for x
    x = 82,538,533,785.06/321,856.70
  6. Step 6: Final answer
    x = 256,444.98

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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.