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Finding the Fourth Proportional to 286,144, 394,878.72 and 185,542.72

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Solution

The fourth proportional to 286,144, 394,878.72 and 185,542.72 is: 256,048.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,144 : 394,878.72 = 185,542.72 : x
  2. Step 2: Convert to fraction form
    286,144/394,878.72 = 185,542.72/x
  3. Step 3: Cross multiply
    286,144x = 394,878.72 × 185,542.72
  4. Step 4: Simplify right side
    286,144x = 73,266,871,778.92
  5. Step 5: Solve for x
    x = 73,266,871,778.92/286,144
  6. Step 6: Final answer
    x = 256,048.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.