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Finding the Fourth Proportional to 297,713.60, 410,842.56 and 161,748.66

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Solution

The fourth proportional to 297,713.60, 410,842.56 and 161,748.66 is: 223,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,713.60 : 410,842.56 = 161,748.66 : x
  2. Step 2: Convert to fraction form
    297,713.60/410,842.56 = 161,748.66/x
  3. Step 3: Cross multiply
    297,713.60x = 410,842.56 × 161,748.66
  4. Step 4: Simplify right side
    297,713.60x = 66,453,232,742.23
  5. Step 5: Solve for x
    x = 66,453,232,742.23/297,713.60
  6. Step 6: Final answer
    x = 223,211.95

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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.