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Finding the Fourth Proportional to 384,170.92, 576,342 and 117,954.64

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Solution

The fourth proportional to 384,170.92, 576,342 and 117,954.64 is: 176,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,170.92 : 576,342 = 117,954.64 : x
  2. Step 2: Convert to fraction form
    384,170.92/576,342 = 117,954.64/x
  3. Step 3: Cross multiply
    384,170.92x = 576,342 × 117,954.64
  4. Step 4: Simplify right side
    384,170.92x = 67,982,213,126.88
  5. Step 5: Solve for x
    x = 67,982,213,126.88/384,170.92
  6. Step 6: Final answer
    x = 176,958.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.