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Finding the Fourth Proportional to 319,712.88, 441,195.42 and 176,469.84

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Solution

The fourth proportional to 319,712.88, 441,195.42 and 176,469.84 is: 243,523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,712.88 : 441,195.42 = 176,469.84 : x
  2. Step 2: Convert to fraction form
    319,712.88/441,195.42 = 176,469.84/x
  3. Step 3: Cross multiply
    319,712.88x = 441,195.42 × 176,469.84
  4. Step 4: Simplify right side
    319,712.88x = 77,857,685,176.13
  5. Step 5: Solve for x
    x = 77,857,685,176.13/319,712.88
  6. Step 6: Final answer
    x = 243,523.77

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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.