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Finding the Fourth Proportional to 296,546.73, 409,236.43 and 160,580.69

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Solution

The fourth proportional to 296,546.73, 409,236.43 and 160,580.69 is: 221,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,546.73 : 409,236.43 = 160,580.69 : x
  2. Step 2: Convert to fraction form
    296,546.73/409,236.43 = 160,580.69/x
  3. Step 3: Cross multiply
    296,546.73x = 409,236.43 × 160,580.69
  4. Step 4: Simplify right side
    296,546.73x = 65,715,468,302.54
  5. Step 5: Solve for x
    x = 65,715,468,302.54/296,546.73
  6. Step 6: Final answer
    x = 221,602.40

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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.