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Finding the Fourth Proportional to 343,384.38, 515,224.57 and 185,723.82

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Solution

The fourth proportional to 343,384.38, 515,224.57 and 185,723.82 is: 278,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,384.38 : 515,224.57 = 185,723.82 : x
  2. Step 2: Convert to fraction form
    343,384.38/515,224.57 = 185,723.82/x
  3. Step 3: Cross multiply
    343,384.38x = 515,224.57 × 185,723.82
  4. Step 4: Simplify right side
    343,384.38x = 95,689,475,298.26
  5. Step 5: Solve for x
    x = 95,689,475,298.26/343,384.38
  6. Step 6: Final answer
    x = 278,665.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.