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Finding the Fourth Proportional to 286,028.38, 394,728.03 and 158,715.82

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Solution

The fourth proportional to 286,028.38, 394,728.03 and 158,715.82 is: 219,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,028.38 : 394,728.03 = 158,715.82 : x
  2. Step 2: Convert to fraction form
    286,028.38/394,728.03 = 158,715.82/x
  3. Step 3: Cross multiply
    286,028.38x = 394,728.03 × 158,715.82
  4. Step 4: Simplify right side
    286,028.38x = 62,649,582,958.43
  5. Step 5: Solve for x
    x = 62,649,582,958.43/286,028.38
  6. Step 6: Final answer
    x = 219,032.75

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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.