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Finding the Fourth Proportional to 297,424.82, 410,443.38 and 161,455.85

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Solution

The fourth proportional to 297,424.82, 410,443.38 and 161,455.85 is: 222,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,424.82 : 410,443.38 = 161,455.85 : x
  2. Step 2: Convert to fraction form
    297,424.82/410,443.38 = 161,455.85/x
  3. Step 3: Cross multiply
    297,424.82x = 410,443.38 × 161,455.85
  4. Step 4: Simplify right side
    297,424.82x = 66,268,484,794.77
  5. Step 5: Solve for x
    x = 66,268,484,794.77/297,424.82
  6. Step 6: Final answer
    x = 222,807.51

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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.