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Finding the Fourth Proportional to 337,732.64, 505,933.16 and 274,624

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Solution

The fourth proportional to 337,732.64, 505,933.16 and 274,624 is: 411,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,732.64 : 505,933.16 = 274,624 : x
  2. Step 2: Convert to fraction form
    337,732.64/505,933.16 = 274,624/x
  3. Step 3: Cross multiply
    337,732.64x = 505,933.16 × 274,624
  4. Step 4: Simplify right side
    337,732.64x = 138,941,388,131.84
  5. Step 5: Solve for x
    x = 138,941,388,131.84/337,732.64
  6. Step 6: Final answer
    x = 411,394.61

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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.