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Finding the Fourth Proportional to 259,992.66, 358,442.91 and 206,454.90

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Solution

The fourth proportional to 259,992.66, 358,442.91 and 206,454.90 is: 284,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,992.66 : 358,442.91 = 206,454.90 : x
  2. Step 2: Convert to fraction form
    259,992.66/358,442.91 = 206,454.90/x
  3. Step 3: Cross multiply
    259,992.66x = 358,442.91 × 206,454.90
  4. Step 4: Simplify right side
    259,992.66x = 74,002,295,139.76
  5. Step 5: Solve for x
    x = 74,002,295,139.76/259,992.66
  6. Step 6: Final answer
    x = 284,632.25

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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.