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Finding the Fourth Proportional to 286,093.36, 394,801.32 and 158,765.68

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Solution

The fourth proportional to 286,093.36, 394,801.32 and 158,765.68 is: 219,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,093.36 : 394,801.32 = 158,765.68 : x
  2. Step 2: Convert to fraction form
    286,093.36/394,801.32 = 158,765.68/x
  3. Step 3: Cross multiply
    286,093.36x = 394,801.32 × 158,765.68
  4. Step 4: Simplify right side
    286,093.36x = 62,680,900,034.70
  5. Step 5: Solve for x
    x = 62,680,900,034.70/286,093.36
  6. Step 6: Final answer
    x = 219,092.47

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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.