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Finding the Fourth Proportional to 297,618.93, 410,489.06 and 206,929.51

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Solution

The fourth proportional to 297,618.93, 410,489.06 and 206,929.51 is: 285,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,618.93 : 410,489.06 = 206,929.51 : x
  2. Step 2: Convert to fraction form
    297,618.93/410,489.06 = 206,929.51/x
  3. Step 3: Cross multiply
    297,618.93x = 410,489.06 × 206,929.51
  4. Step 4: Simplify right side
    297,618.93x = 84,942,300,046.16
  5. Step 5: Solve for x
    x = 84,942,300,046.16/297,618.93
  6. Step 6: Final answer
    x = 285,406.24

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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.