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Finding the Fourth Proportional to 863,200.94, 1,294,991.08 and 264,208.30

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Solution

The fourth proportional to 863,200.94, 1,294,991.08 and 264,208.30 is: 396,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,200.94 : 1,294,991.08 = 264,208.30 : x
  2. Step 2: Convert to fraction form
    863,200.94/1,294,991.08 = 264,208.30/x
  3. Step 3: Cross multiply
    863,200.94x = 1,294,991.08 × 264,208.30
  4. Step 4: Simplify right side
    863,200.94x = 342,147,387,863.97
  5. Step 5: Solve for x
    x = 342,147,387,863.97/863,200.94
  6. Step 6: Final answer
    x = 396,370.50

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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.