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Finding the Fourth Proportional to 319,761.90, 441,272.83 and 176,523.12

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Solution

The fourth proportional to 319,761.90, 441,272.83 and 176,523.12 is: 243,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,761.90 : 441,272.83 = 176,523.12 : x
  2. Step 2: Convert to fraction form
    319,761.90/441,272.83 = 176,523.12/x
  3. Step 3: Cross multiply
    319,761.90x = 441,272.83 × 176,523.12
  4. Step 4: Simplify right side
    319,761.90x = 77,894,857,936.38
  5. Step 5: Solve for x
    x = 77,894,857,936.38/319,761.90
  6. Step 6: Final answer
    x = 243,602.69

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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.