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Finding the Fourth Proportional to 287,207.74, 396,399.83 and 166,349

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Solution

The fourth proportional to 287,207.74, 396,399.83 and 166,349 is: 229,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,207.74 : 396,399.83 = 166,349 : x
  2. Step 2: Convert to fraction form
    287,207.74/396,399.83 = 166,349/x
  3. Step 3: Cross multiply
    287,207.74x = 396,399.83 × 166,349
  4. Step 4: Simplify right side
    287,207.74x = 65,940,715,320.67
  5. Step 5: Solve for x
    x = 65,940,715,320.67/287,207.74
  6. Step 6: Final answer
    x = 229,592.40

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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.