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Finding the Fourth Proportional to 254,604.20, 382,314.30 and 202,447.40

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Solution

The fourth proportional to 254,604.20, 382,314.30 and 202,447.40 is: 303,995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,604.20 : 382,314.30 = 202,447.40 : x
  2. Step 2: Convert to fraction form
    254,604.20/382,314.30 = 202,447.40/x
  3. Step 3: Cross multiply
    254,604.20x = 382,314.30 × 202,447.40
  4. Step 4: Simplify right side
    254,604.20x = 77,398,536,017.82
  5. Step 5: Solve for x
    x = 77,398,536,017.82/254,604.20
  6. Step 6: Final answer
    x = 303,995.52

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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.