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Finding the Fourth Proportional to 474,147, 711,072.88 and 158,530.10

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Solution

The fourth proportional to 474,147, 711,072.88 and 158,530.10 is: 237,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,147 : 711,072.88 = 158,530.10 : x
  2. Step 2: Convert to fraction form
    474,147/711,072.88 = 158,530.10/x
  3. Step 3: Cross multiply
    474,147x = 711,072.88 × 158,530.10
  4. Step 4: Simplify right side
    474,147x = 112,726,450,822.00
  5. Step 5: Solve for x
    x = 112,726,450,822.00/474,147
  6. Step 6: Final answer
    x = 237,745.79

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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.