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Finding the Fourth Proportional to 655,891.17, 905,356.34 and 384,046.46

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Solution

The fourth proportional to 655,891.17, 905,356.34 and 384,046.46 is: 530,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,891.17 : 905,356.34 = 384,046.46 : x
  2. Step 2: Convert to fraction form
    655,891.17/905,356.34 = 384,046.46/x
  3. Step 3: Cross multiply
    655,891.17x = 905,356.34 × 384,046.46
  4. Step 4: Simplify right side
    655,891.17x = 347,698,900,896.43
  5. Step 5: Solve for x
    x = 347,698,900,896.43/655,891.17
  6. Step 6: Final answer
    x = 530,116.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.