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Finding the Fourth Proportional to 361,926.72, 542,802.60 and 151,722

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Solution

The fourth proportional to 361,926.72, 542,802.60 and 151,722 is: 227,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,926.72 : 542,802.60 = 151,722 : x
  2. Step 2: Convert to fraction form
    361,926.72/542,802.60 = 151,722/x
  3. Step 3: Cross multiply
    361,926.72x = 542,802.60 × 151,722
  4. Step 4: Simplify right side
    361,926.72x = 82,355,096,077.20
  5. Step 5: Solve for x
    x = 82,355,096,077.20/361,926.72
  6. Step 6: Final answer
    x = 227,546.33

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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.