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Finding the Fourth Proportional to 322,066.95, 444,443.85 and 178,823.31

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Solution

The fourth proportional to 322,066.95, 444,443.85 and 178,823.31 is: 246,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,066.95 : 444,443.85 = 178,823.31 : x
  2. Step 2: Convert to fraction form
    322,066.95/444,443.85 = 178,823.31/x
  3. Step 3: Cross multiply
    322,066.95x = 444,443.85 × 178,823.31
  4. Step 4: Simplify right side
    322,066.95x = 79,476,920,366.14
  5. Step 5: Solve for x
    x = 79,476,920,366.14/322,066.95
  6. Step 6: Final answer
    x = 246,771.43

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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.