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Finding the Fourth Proportional to 259,996.41, 358,448.08 and 206,458.65

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Solution

The fourth proportional to 259,996.41, 358,448.08 and 206,458.65 is: 284,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,996.41 : 358,448.08 = 206,458.65 : x
  2. Step 2: Convert to fraction form
    259,996.41/358,448.08 = 206,458.65/x
  3. Step 3: Cross multiply
    259,996.41x = 358,448.08 × 206,458.65
  4. Step 4: Simplify right side
    259,996.41x = 74,004,706,691.89
  5. Step 5: Solve for x
    x = 74,004,706,691.89/259,996.41
  6. Step 6: Final answer
    x = 284,637.42

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1.5x scale

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.