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Finding the Fourth Proportional to 320,862.38, 442,795.30 and 175,665.71

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Solution

The fourth proportional to 320,862.38, 442,795.30 and 175,665.71 is: 242,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,862.38 : 442,795.30 = 175,665.71 : x
  2. Step 2: Convert to fraction form
    320,862.38/442,795.30 = 175,665.71/x
  3. Step 3: Cross multiply
    320,862.38x = 442,795.30 × 175,665.71
  4. Step 4: Simplify right side
    320,862.38x = 77,783,951,584.87
  5. Step 5: Solve for x
    x = 77,783,951,584.87/320,862.38
  6. Step 6: Final answer
    x = 242,421.54

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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.