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Finding the Fourth Proportional to 340,846.38, 471,218.31 and 255,815.82

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Solution

The fourth proportional to 340,846.38, 471,218.31 and 255,815.82 is: 353,664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,846.38 : 471,218.31 = 255,815.82 : x
  2. Step 2: Convert to fraction form
    340,846.38/471,218.31 = 255,815.82/x
  3. Step 3: Cross multiply
    340,846.38x = 471,218.31 × 255,815.82
  4. Step 4: Simplify right side
    340,846.38x = 120,545,098,371.66
  5. Step 5: Solve for x
    x = 120,545,098,371.66/340,846.38
  6. Step 6: Final answer
    x = 353,664.01

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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.