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Finding the Fourth Proportional to 474,144, 711,216 and 123,936

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Solution

The fourth proportional to 474,144, 711,216 and 123,936 is: 185,904

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,144 : 711,216 = 123,936 : x
  2. Step 2: Convert to fraction form
    474,144/711,216 = 123,936/x
  3. Step 3: Cross multiply
    474,144x = 711,216 × 123,936
  4. Step 4: Simplify right side
    474,144x = 88,145,266,176
  5. Step 5: Solve for x
    x = 88,145,266,176/474,144
  6. Step 6: Final answer
    x = 185,904

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