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Finding the Fourth Proportional to 463,232.86, 694,969.08 and 271,269.40

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Solution

The fourth proportional to 463,232.86, 694,969.08 and 271,269.40 is: 406,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,232.86 : 694,969.08 = 271,269.40 : x
  2. Step 2: Convert to fraction form
    463,232.86/694,969.08 = 271,269.40/x
  3. Step 3: Cross multiply
    463,232.86x = 694,969.08 × 271,269.40
  4. Step 4: Simplify right side
    463,232.86x = 188,523,845,424.43
  5. Step 5: Solve for x
    x = 188,523,845,424.43/463,232.86
  6. Step 6: Final answer
    x = 406,974.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.