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Finding the Fourth Proportional to 297,472.11, 410,509.25 and 161,503.38

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Solution

The fourth proportional to 297,472.11, 410,509.25 and 161,503.38 is: 222,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,472.11 : 410,509.25 = 161,503.38 : x
  2. Step 2: Convert to fraction form
    297,472.11/410,509.25 = 161,503.38/x
  3. Step 3: Cross multiply
    297,472.11x = 410,509.25 × 161,503.38
  4. Step 4: Simplify right side
    297,472.11x = 66,298,630,588.75
  5. Step 5: Solve for x
    x = 66,298,630,588.75/297,472.11
  6. Step 6: Final answer
    x = 222,873.43

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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.