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Finding the Fourth Proportional to 286,776.16, 395,742.96 and 159,449.44

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Solution

The fourth proportional to 286,776.16, 395,742.96 and 159,449.44 is: 220,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,776.16 : 395,742.96 = 159,449.44 : x
  2. Step 2: Convert to fraction form
    286,776.16/395,742.96 = 159,449.44/x
  3. Step 3: Cross multiply
    286,776.16x = 395,742.96 × 159,449.44
  4. Step 4: Simplify right side
    286,776.16x = 63,100,993,355.94
  5. Step 5: Solve for x
    x = 63,100,993,355.94/286,776.16
  6. Step 6: Final answer
    x = 220,035.70

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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.