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Finding the Fourth Proportional to 259,742.40, 389,905.20 and 200,839.20

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Solution

The fourth proportional to 259,742.40, 389,905.20 and 200,839.20 is: 301,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,742.40 : 389,905.20 = 200,839.20 : x
  2. Step 2: Convert to fraction form
    259,742.40/389,905.20 = 200,839.20/x
  3. Step 3: Cross multiply
    259,742.40x = 389,905.20 × 200,839.20
  4. Step 4: Simplify right side
    259,742.40x = 78,308,248,443.84
  5. Step 5: Solve for x
    x = 78,308,248,443.84/259,742.40
  6. Step 6: Final answer
    x = 301,484.27

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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.