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Finding the Fourth Proportional to 585,917.60, 878,653.43 and 206,767.65

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Solution

The fourth proportional to 585,917.60, 878,653.43 and 206,767.65 is: 310,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,917.60 : 878,653.43 = 206,767.65 : x
  2. Step 2: Convert to fraction form
    585,917.60/878,653.43 = 206,767.65/x
  3. Step 3: Cross multiply
    585,917.60x = 878,653.43 × 206,767.65
  4. Step 4: Simplify right side
    585,917.60x = 181,677,103,851.70
  5. Step 5: Solve for x
    x = 181,677,103,851.70/585,917.60
  6. Step 6: Final answer
    x = 310,072.79

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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.