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Finding the Fourth Proportional to 297,713.47, 410,842.38 and 161,748.54

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Solution

The fourth proportional to 297,713.47, 410,842.38 and 161,748.54 is: 223,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,713.47 : 410,842.38 = 161,748.54 : x
  2. Step 2: Convert to fraction form
    297,713.47/410,842.38 = 161,748.54/x
  3. Step 3: Cross multiply
    297,713.47x = 410,842.38 × 161,748.54
  4. Step 4: Simplify right side
    297,713.47x = 66,453,155,135.13
  5. Step 5: Solve for x
    x = 66,453,155,135.13/297,713.47
  6. Step 6: Final answer
    x = 223,211.79

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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.