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Finding the Fourth Proportional to 314,542.62, 434,081.10 and 178,589.22

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Solution

The fourth proportional to 314,542.62, 434,081.10 and 178,589.22 is: 246,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,542.62 : 434,081.10 = 178,589.22 : x
  2. Step 2: Convert to fraction form
    314,542.62/434,081.10 = 178,589.22/x
  3. Step 3: Cross multiply
    314,542.62x = 434,081.10 × 178,589.22
  4. Step 4: Simplify right side
    314,542.62x = 77,522,203,103.08
  5. Step 5: Solve for x
    x = 77,522,203,103.08/314,542.62
  6. Step 6: Final answer
    x = 246,460.09

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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.