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Finding the Fourth Proportional to 319,087.38, 440,349.82 and 175,856.65

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Solution

The fourth proportional to 319,087.38, 440,349.82 and 175,856.65 is: 242,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,087.38 : 440,349.82 = 175,856.65 : x
  2. Step 2: Convert to fraction form
    319,087.38/440,349.82 = 175,856.65/x
  3. Step 3: Cross multiply
    319,087.38x = 440,349.82 × 175,856.65
  4. Step 4: Simplify right side
    319,087.38x = 77,438,445,109.75
  5. Step 5: Solve for x
    x = 77,438,445,109.75/319,087.38
  6. Step 6: Final answer
    x = 242,687.27

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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.