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Finding the Fourth Proportional to 347,966.29, 480,178.96 and 197,063.29

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Solution

The fourth proportional to 347,966.29, 480,178.96 and 197,063.29 is: 271,939.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,966.29 : 480,178.96 = 197,063.29 : x
  2. Step 2: Convert to fraction form
    347,966.29/480,178.96 = 197,063.29/x
  3. Step 3: Cross multiply
    347,966.29x = 480,178.96 × 197,063.29
  4. Step 4: Simplify right side
    347,966.29x = 94,625,645,646.38
  5. Step 5: Solve for x
    x = 94,625,645,646.38/347,966.29
  6. Step 6: Final answer
    x = 271,939.12

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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.