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Finding the Fourth Proportional to 259,470.24, 357,987.24 and 204,850.32

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Solution

The fourth proportional to 259,470.24, 357,987.24 and 204,850.32 is: 282,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,470.24 : 357,987.24 = 204,850.32 : x
  2. Step 2: Convert to fraction form
    259,470.24/357,987.24 = 204,850.32/x
  3. Step 3: Cross multiply
    259,470.24x = 357,987.24 × 204,850.32
  4. Step 4: Simplify right side
    259,470.24x = 73,333,800,669.92
  5. Step 5: Solve for x
    x = 73,333,800,669.92/259,470.24
  6. Step 6: Final answer
    x = 282,628.95

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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.