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Finding the Fourth Proportional to 259,059.40, 388,224.60 and 205,842.40

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Solution

The fourth proportional to 259,059.40, 388,224.60 and 205,842.40 is: 308,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,059.40 : 388,224.60 = 205,842.40 : x
  2. Step 2: Convert to fraction form
    259,059.40/388,224.60 = 205,842.40/x
  3. Step 3: Cross multiply
    259,059.40x = 388,224.60 × 205,842.40
  4. Step 4: Simplify right side
    259,059.40x = 79,913,083,403.04
  5. Step 5: Solve for x
    x = 79,913,083,403.04/259,059.40
  6. Step 6: Final answer
    x = 308,473.98

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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.