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Finding the Fourth Proportional to 321,861.32, 444,065.88 and 185,877.32

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Solution

The fourth proportional to 321,861.32, 444,065.88 and 185,877.32 is: 256,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,861.32 : 444,065.88 = 185,877.32 : x
  2. Step 2: Convert to fraction form
    321,861.32/444,065.88 = 185,877.32/x
  3. Step 3: Cross multiply
    321,861.32x = 444,065.88 × 185,877.32
  4. Step 4: Simplify right side
    321,861.32x = 82,541,775,677.84
  5. Step 5: Solve for x
    x = 82,541,775,677.84/321,861.32
  6. Step 6: Final answer
    x = 256,451.37

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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.