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Finding the Fourth Proportional to 358,081.52, 494,164.88 and 196,948.76

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Solution

The fourth proportional to 358,081.52, 494,164.88 and 196,948.76 is: 271,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,081.52 : 494,164.88 = 196,948.76 : x
  2. Step 2: Convert to fraction form
    358,081.52/494,164.88 = 196,948.76/x
  3. Step 3: Cross multiply
    358,081.52x = 494,164.88 × 196,948.76
  4. Step 4: Simplify right side
    358,081.52x = 97,325,160,351.55
  5. Step 5: Solve for x
    x = 97,325,160,351.55/358,081.52
  6. Step 6: Final answer
    x = 271,796.10

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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.