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Finding the Fourth Proportional to 287,658.18, 396,968.85 and 160,331.22

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Solution

The fourth proportional to 287,658.18, 396,968.85 and 160,331.22 is: 221,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,658.18 : 396,968.85 = 160,331.22 : x
  2. Step 2: Convert to fraction form
    287,658.18/396,968.85 = 160,331.22/x
  3. Step 3: Cross multiply
    287,658.18x = 396,968.85 × 160,331.22
  4. Step 4: Simplify right side
    287,658.18x = 63,646,500,022.50
  5. Step 5: Solve for x
    x = 63,646,500,022.50/287,658.18
  6. Step 6: Final answer
    x = 221,257.40

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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.