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Finding the Fourth Proportional to 474,005.90, 711,007.23 and 158,462.30

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Solution

The fourth proportional to 474,005.90, 711,007.23 and 158,462.30 is: 237,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,005.90 : 711,007.23 = 158,462.30 : x
  2. Step 2: Convert to fraction form
    474,005.90/711,007.23 = 158,462.30/x
  3. Step 3: Cross multiply
    474,005.90x = 711,007.23 × 158,462.30
  4. Step 4: Simplify right side
    474,005.90x = 112,667,840,982.43
  5. Step 5: Solve for x
    x = 112,667,840,982.43/474,005.90
  6. Step 6: Final answer
    x = 237,692.91

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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.