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Finding the Fourth Proportional to 473,127.84, 652,818.92 and 271,884.96

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Solution

The fourth proportional to 473,127.84, 652,818.92 and 271,884.96 is: 375,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,127.84 : 652,818.92 = 271,884.96 : x
  2. Step 2: Convert to fraction form
    473,127.84/652,818.92 = 271,884.96/x
  3. Step 3: Cross multiply
    473,127.84x = 652,818.92 × 271,884.96
  4. Step 4: Simplify right side
    473,127.84x = 177,491,645,951.44
  5. Step 5: Solve for x
    x = 177,491,645,951.44/473,127.84
  6. Step 6: Final answer
    x = 375,145.22

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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.