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Finding the Fourth Proportional to 286,003.53, 394,684.92 and 158,678.82

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Solution

The fourth proportional to 286,003.53, 394,684.92 and 158,678.82 is: 218,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,003.53 : 394,684.92 = 158,678.82 : x
  2. Step 2: Convert to fraction form
    286,003.53/394,684.92 = 158,678.82/x
  3. Step 3: Cross multiply
    286,003.53x = 394,684.92 × 158,678.82
  4. Step 4: Simplify right side
    286,003.53x = 62,628,137,377.39
  5. Step 5: Solve for x
    x = 62,628,137,377.39/286,003.53
  6. Step 6: Final answer
    x = 218,976.80

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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.