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Finding the Fourth Proportional to 296,537.94, 409,251.66 and 169,232.67

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Solution

The fourth proportional to 296,537.94, 409,251.66 and 169,232.67 is: 233,557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,537.94 : 409,251.66 = 169,232.67 : x
  2. Step 2: Convert to fraction form
    296,537.94/409,251.66 = 169,232.67/x
  3. Step 3: Cross multiply
    296,537.94x = 409,251.66 × 169,232.67
  4. Step 4: Simplify right side
    296,537.94x = 69,258,751,123.73
  5. Step 5: Solve for x
    x = 69,258,751,123.73/296,537.94
  6. Step 6: Final answer
    x = 233,557.81

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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.