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Finding the Fourth Proportional to 224,604.64, 334,863.62 and 199,361.20

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Solution

The fourth proportional to 224,604.64, 334,863.62 and 199,361.20 is: 297,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,604.64 : 334,863.62 = 199,361.20 : x
  2. Step 2: Convert to fraction form
    224,604.64/334,863.62 = 199,361.20/x
  3. Step 3: Cross multiply
    224,604.64x = 334,863.62 × 199,361.20
  4. Step 4: Simplify right side
    224,604.64x = 66,758,813,119.54
  5. Step 5: Solve for x
    x = 66,758,813,119.54/224,604.64
  6. Step 6: Final answer
    x = 297,228.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.