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Finding the Fourth Proportional to 299,286.76, 413,102.10 and 176,892.52

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Solution

The fourth proportional to 299,286.76, 413,102.10 and 176,892.52 is: 244,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,286.76 : 413,102.10 = 176,892.52 : x
  2. Step 2: Convert to fraction form
    299,286.76/413,102.10 = 176,892.52/x
  3. Step 3: Cross multiply
    299,286.76x = 413,102.10 × 176,892.52
  4. Step 4: Simplify right side
    299,286.76x = 73,074,671,486.29
  5. Step 5: Solve for x
    x = 73,074,671,486.29/299,286.76
  6. Step 6: Final answer
    x = 244,162.73

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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.