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Finding the Fourth Proportional to 287,163.72, 396,298.98 and 159,847.38

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Solution

The fourth proportional to 287,163.72, 396,298.98 and 159,847.38 is: 220,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,163.72 : 396,298.98 = 159,847.38 : x
  2. Step 2: Convert to fraction form
    287,163.72/396,298.98 = 159,847.38/x
  3. Step 3: Cross multiply
    287,163.72x = 396,298.98 × 159,847.38
  4. Step 4: Simplify right side
    287,163.72x = 63,347,353,649.67
  5. Step 5: Solve for x
    x = 63,347,353,649.67/287,163.72
  6. Step 6: Final answer
    x = 220,596.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.