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Finding the Fourth Proportional to 386,708.99, 580,091.42 and 161,843.16

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Solution

The fourth proportional to 386,708.99, 580,091.42 and 161,843.16 is: 242,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,708.99 : 580,091.42 = 161,843.16 : x
  2. Step 2: Convert to fraction form
    386,708.99/580,091.42 = 161,843.16/x
  3. Step 3: Cross multiply
    386,708.99x = 580,091.42 × 161,843.16
  4. Step 4: Simplify right side
    386,708.99x = 93,883,831,081.64
  5. Step 5: Solve for x
    x = 93,883,831,081.64/386,708.99
  6. Step 6: Final answer
    x = 242,776.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.