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Finding the Fourth Proportional to 297,338.40, 410,319.90 and 161,366.52

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Solution

The fourth proportional to 297,338.40, 410,319.90 and 161,366.52 is: 222,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,338.40 : 410,319.90 = 161,366.52 : x
  2. Step 2: Convert to fraction form
    297,338.40/410,319.90 = 161,366.52/x
  3. Step 3: Cross multiply
    297,338.40x = 410,319.90 × 161,366.52
  4. Step 4: Simplify right side
    297,338.40x = 66,211,894,349.75
  5. Step 5: Solve for x
    x = 66,211,894,349.75/297,338.40
  6. Step 6: Final answer
    x = 222,681.95

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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.