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Finding the Fourth Proportional to 297,091.74, 410,039.01 and 176,299.63

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Solution

The fourth proportional to 297,091.74, 410,039.01 and 176,299.63 is: 243,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,091.74 : 410,039.01 = 176,299.63 : x
  2. Step 2: Convert to fraction form
    297,091.74/410,039.01 = 176,299.63/x
  3. Step 3: Cross multiply
    297,091.74x = 410,039.01 × 176,299.63
  4. Step 4: Simplify right side
    297,091.74x = 72,289,724,723.47
  5. Step 5: Solve for x
    x = 72,289,724,723.47/297,091.74
  6. Step 6: Final answer
    x = 243,324.59

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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.