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Finding the Fourth Proportional to 287,431.35, 396,667.52 and 160,107

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Solution

The fourth proportional to 287,431.35, 396,667.52 and 160,107 is: 220,954.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,431.35 : 396,667.52 = 160,107 : x
  2. Step 2: Convert to fraction form
    287,431.35/396,667.52 = 160,107/x
  3. Step 3: Cross multiply
    287,431.35x = 396,667.52 × 160,107
  4. Step 4: Simplify right side
    287,431.35x = 63,509,246,624.64
  5. Step 5: Solve for x
    x = 63,509,246,624.64/287,431.35
  6. Step 6: Final answer
    x = 220,954.49

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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.