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Finding the Fourth Proportional to 258,309.60, 387,464.40 and 199,260.60

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Solution

The fourth proportional to 258,309.60, 387,464.40 and 199,260.60 is: 298,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,309.60 : 387,464.40 = 199,260.60 : x
  2. Step 2: Convert to fraction form
    258,309.60/387,464.40 = 199,260.60/x
  3. Step 3: Cross multiply
    258,309.60x = 387,464.40 × 199,260.60
  4. Step 4: Simplify right side
    258,309.60x = 77,206,388,822.64
  5. Step 5: Solve for x
    x = 77,206,388,822.64/258,309.60
  6. Step 6: Final answer
    x = 298,890.90

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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.