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Finding the Fourth Proportional to 474,146.75, 711,072.48 and 158,529.85

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Solution

The fourth proportional to 474,146.75, 711,072.48 and 158,529.85 is: 237,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,146.75 : 711,072.48 = 158,529.85 : x
  2. Step 2: Convert to fraction form
    474,146.75/711,072.48 = 158,529.85/x
  3. Step 3: Cross multiply
    474,146.75x = 711,072.48 × 158,529.85
  4. Step 4: Simplify right side
    474,146.75x = 112,726,213,593.53
  5. Step 5: Solve for x
    x = 112,726,213,593.53/474,146.75
  6. Step 6: Final answer
    x = 237,745.41

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Why These Related Problems?

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