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Finding the Fourth Proportional to 287,292.30, 396,533.13 and 166,414.02

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Solution

The fourth proportional to 287,292.30, 396,533.13 and 166,414.02 is: 229,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,292.30 : 396,533.13 = 166,414.02 : x
  2. Step 2: Convert to fraction form
    287,292.30/396,533.13 = 166,414.02/x
  3. Step 3: Cross multiply
    287,292.30x = 396,533.13 × 166,414.02
  4. Step 4: Simplify right side
    287,292.30x = 65,988,672,226.48
  5. Step 5: Solve for x
    x = 65,988,672,226.48/287,292.30
  6. Step 6: Final answer
    x = 229,691.75

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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.