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Finding the Fourth Proportional to 297,715.60, 410,845.31 and 161,750.66

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Solution

The fourth proportional to 297,715.60, 410,845.31 and 161,750.66 is: 223,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,715.60 : 410,845.31 = 161,750.66 : x
  2. Step 2: Convert to fraction form
    297,715.60/410,845.31 = 161,750.66/x
  3. Step 3: Cross multiply
    297,715.60x = 410,845.31 × 161,750.66
  4. Step 4: Simplify right side
    297,715.60x = 66,454,500,050.40
  5. Step 5: Solve for x
    x = 66,454,500,050.40/297,715.60
  6. Step 6: Final answer
    x = 223,214.71

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1.5x scale

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.