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Finding the Fourth Proportional to 297,359.82, 410,356.93 and 161,393.72

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Solution

The fourth proportional to 297,359.82, 410,356.93 and 161,393.72 is: 222,723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,359.82 : 410,356.93 = 161,393.72 : x
  2. Step 2: Convert to fraction form
    297,359.82/410,356.93 = 161,393.72/x
  3. Step 3: Cross multiply
    297,359.82x = 410,356.93 × 161,393.72
  4. Step 4: Simplify right side
    297,359.82x = 66,229,031,460.48
  5. Step 5: Solve for x
    x = 66,229,031,460.48/297,359.82
  6. Step 6: Final answer
    x = 222,723.54

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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.