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Finding the Fourth Proportional to 259,907.64, 358,693.38 and 206,632.32

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Solution

The fourth proportional to 259,907.64, 358,693.38 and 206,632.32 is: 285,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,907.64 : 358,693.38 = 206,632.32 : x
  2. Step 2: Convert to fraction form
    259,907.64/358,693.38 = 206,632.32/x
  3. Step 3: Cross multiply
    259,907.64x = 358,693.38 × 206,632.32
  4. Step 4: Simplify right side
    259,907.64x = 74,117,645,278.04
  5. Step 5: Solve for x
    x = 74,117,645,278.04/259,907.64
  6. Step 6: Final answer
    x = 285,169.17

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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.