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Finding the Fourth Proportional to 454,773.97, 682,634.10 and 334,966.21

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Solution

The fourth proportional to 454,773.97, 682,634.10 and 334,966.21 is: 502,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,773.97 : 682,634.10 = 334,966.21 : x
  2. Step 2: Convert to fraction form
    454,773.97/682,634.10 = 334,966.21/x
  3. Step 3: Cross multiply
    454,773.97x = 682,634.10 × 334,966.21
  4. Step 4: Simplify right side
    454,773.97x = 228,659,357,293.76
  5. Step 5: Solve for x
    x = 228,659,357,293.76/454,773.97
  6. Step 6: Final answer
    x = 502,797.81

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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.