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Finding the Fourth Proportional to 462,830.28, 694,521.32 and 206,642.97

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Solution

The fourth proportional to 462,830.28, 694,521.32 and 206,642.97 is: 310,087.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,830.28 : 694,521.32 = 206,642.97 : x
  2. Step 2: Convert to fraction form
    462,830.28/694,521.32 = 206,642.97/x
  3. Step 3: Cross multiply
    462,830.28x = 694,521.32 × 206,642.97
  4. Step 4: Simplify right side
    462,830.28x = 143,517,945,544.71
  5. Step 5: Solve for x
    x = 143,517,945,544.71/462,830.28
  6. Step 6: Final answer
    x = 310,087.63

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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.