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Finding the Fourth Proportional to 354,193.63, 488,787.39 and 201,232.09

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Solution

The fourth proportional to 354,193.63, 488,787.39 and 201,232.09 is: 277,700.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,193.63 : 488,787.39 = 201,232.09 : x
  2. Step 2: Convert to fraction form
    354,193.63/488,787.39 = 201,232.09/x
  3. Step 3: Cross multiply
    354,193.63x = 488,787.39 × 201,232.09
  4. Step 4: Simplify right side
    354,193.63x = 98,359,708,055.35
  5. Step 5: Solve for x
    x = 98,359,708,055.35/354,193.63
  6. Step 6: Final answer
    x = 277,700.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.