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Finding the Fourth Proportional to 321,805.68, 444,071.28 and 178,565.38

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Solution

The fourth proportional to 321,805.68, 444,071.28 and 178,565.38 is: 246,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,805.68 : 444,071.28 = 178,565.38 : x
  2. Step 2: Convert to fraction form
    321,805.68/444,071.28 = 178,565.38/x
  3. Step 3: Cross multiply
    321,805.68x = 444,071.28 × 178,565.38
  4. Step 4: Simplify right side
    321,805.68x = 79,295,756,860.29
  5. Step 5: Solve for x
    x = 79,295,756,860.29/321,805.68
  6. Step 6: Final answer
    x = 246,408.82

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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.