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Finding the Fourth Proportional to 297,278.80, 410,217.60 and 176,399.24

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Solution

The fourth proportional to 297,278.80, 410,217.60 and 176,399.24 is: 243,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,278.80 : 410,217.60 = 176,399.24 : x
  2. Step 2: Convert to fraction form
    297,278.80/410,217.60 = 176,399.24/x
  3. Step 3: Cross multiply
    297,278.80x = 410,217.60 × 176,399.24
  4. Step 4: Simplify right side
    297,278.80x = 72,362,072,874.62
  5. Step 5: Solve for x
    x = 72,362,072,874.62/297,278.80
  6. Step 6: Final answer
    x = 243,414.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.