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Finding the Fourth Proportional to 297,644.31, 410,856.98 and 197,074.71

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Solution

The fourth proportional to 297,644.31, 410,856.98 and 197,074.71 is: 272,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,644.31 : 410,856.98 = 197,074.71 : x
  2. Step 2: Convert to fraction form
    297,644.31/410,856.98 = 197,074.71/x
  3. Step 3: Cross multiply
    297,644.31x = 410,856.98 × 197,074.71
  4. Step 4: Simplify right side
    297,644.31x = 80,969,519,199.60
  5. Step 5: Solve for x
    x = 80,969,519,199.60/297,644.31
  6. Step 6: Final answer
    x = 272,034.49

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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.