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Finding the Fourth Proportional to 363,617.63, 501,787.54 and 200,271

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Solution

The fourth proportional to 363,617.63, 501,787.54 and 200,271 is: 276,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,617.63 : 501,787.54 = 200,271 : x
  2. Step 2: Convert to fraction form
    363,617.63/501,787.54 = 200,271/x
  3. Step 3: Cross multiply
    363,617.63x = 501,787.54 × 200,271
  4. Step 4: Simplify right side
    363,617.63x = 100,493,492,423.34
  5. Step 5: Solve for x
    x = 100,493,492,423.34/363,617.63
  6. Step 6: Final answer
    x = 276,371.34

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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.