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Finding the Fourth Proportional to 254,588.20, 382,290.30 and 202,431.40

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Solution

The fourth proportional to 254,588.20, 382,290.30 and 202,431.40 is: 303,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,588.20 : 382,290.30 = 202,431.40 : x
  2. Step 2: Convert to fraction form
    254,588.20/382,290.30 = 202,431.40/x
  3. Step 3: Cross multiply
    254,588.20x = 382,290.30 × 202,431.40
  4. Step 4: Simplify right side
    254,588.20x = 77,387,560,635.42
  5. Step 5: Solve for x
    x = 77,387,560,635.42/254,588.20
  6. Step 6: Final answer
    x = 303,971.51

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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.