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Finding the Fourth Proportional to 307,832.40, 462,094.20 and 238,021.20

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Solution

The fourth proportional to 307,832.40, 462,094.20 and 238,021.20 is: 357,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,832.40 : 462,094.20 = 238,021.20 : x
  2. Step 2: Convert to fraction form
    307,832.40/462,094.20 = 238,021.20/x
  3. Step 3: Cross multiply
    307,832.40x = 462,094.20 × 238,021.20
  4. Step 4: Simplify right side
    307,832.40x = 109,988,215,997.04
  5. Step 5: Solve for x
    x = 109,988,215,997.04/307,832.40
  6. Step 6: Final answer
    x = 357,299.02

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