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Finding the Fourth Proportional to 231,338.40, 346,489.20 and 120,400.80

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Solution

The fourth proportional to 231,338.40, 346,489.20 and 120,400.80 is: 180,331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,338.40 : 346,489.20 = 120,400.80 : x
  2. Step 2: Convert to fraction form
    231,338.40/346,489.20 = 120,400.80/x
  3. Step 3: Cross multiply
    231,338.40x = 346,489.20 × 120,400.80
  4. Step 4: Simplify right side
    231,338.40x = 41,717,576,871.36
  5. Step 5: Solve for x
    x = 41,717,576,871.36/231,338.40
  6. Step 6: Final answer
    x = 180,331.40

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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.