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Finding the Fourth Proportional to 328,835.70, 493,217.10 and 92,202.30

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Solution

The fourth proportional to 328,835.70, 493,217.10 and 92,202.30 is: 138,293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,835.70 : 493,217.10 = 92,202.30 : x
  2. Step 2: Convert to fraction form
    328,835.70/493,217.10 = 92,202.30/x
  3. Step 3: Cross multiply
    328,835.70x = 493,217.10 × 92,202.30
  4. Step 4: Simplify right side
    328,835.70x = 45,475,751,019.33
  5. Step 5: Solve for x
    x = 45,475,751,019.33/328,835.70
  6. Step 6: Final answer
    x = 138,293.23

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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.