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Finding the Fourth Proportional to 384,171.92, 576,343.50 and 117,955.64

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Solution

The fourth proportional to 384,171.92, 576,343.50 and 117,955.64 is: 176,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,171.92 : 576,343.50 = 117,955.64 : x
  2. Step 2: Convert to fraction form
    384,171.92/576,343.50 = 117,955.64/x
  3. Step 3: Cross multiply
    384,171.92x = 576,343.50 × 117,955.64
  4. Step 4: Simplify right side
    384,171.92x = 67,982,966,402.34
  5. Step 5: Solve for x
    x = 67,982,966,402.34/384,171.92
  6. Step 6: Final answer
    x = 176,959.75

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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.