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Finding the Fourth Proportional to 463,713.70, 643,198.82 and 451,422.76

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Solution

The fourth proportional to 463,713.70, 643,198.82 and 451,422.76 is: 626,150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,713.70 : 643,198.82 = 451,422.76 : x
  2. Step 2: Convert to fraction form
    463,713.70/643,198.82 = 451,422.76/x
  3. Step 3: Cross multiply
    463,713.70x = 643,198.82 × 451,422.76
  4. Step 4: Simplify right side
    463,713.70x = 290,354,586,553.14
  5. Step 5: Solve for x
    x = 290,354,586,553.14/463,713.70
  6. Step 6: Final answer
    x = 626,150.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.