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Finding the Fourth Proportional to 397,651.39, 596,251.19 and 271,444.48

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Solution

The fourth proportional to 397,651.39, 596,251.19 and 271,444.48 is: 407,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,651.39 : 596,251.19 = 271,444.48 : x
  2. Step 2: Convert to fraction form
    397,651.39/596,251.19 = 271,444.48/x
  3. Step 3: Cross multiply
    397,651.39x = 596,251.19 × 271,444.48
  4. Step 4: Simplify right side
    397,651.39x = 161,849,093,406.91
  5. Step 5: Solve for x
    x = 161,849,093,406.91/397,651.39
  6. Step 6: Final answer
    x = 407,012.52

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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.