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Finding the Fourth Proportional to 361,091.51, 498,300.16 and 199,943.09

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Solution

The fourth proportional to 361,091.51, 498,300.16 and 199,943.09 is: 275,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,091.51 : 498,300.16 = 199,943.09 : x
  2. Step 2: Convert to fraction form
    361,091.51/498,300.16 = 199,943.09/x
  3. Step 3: Cross multiply
    361,091.51x = 498,300.16 × 199,943.09
  4. Step 4: Simplify right side
    361,091.51x = 99,631,673,737.89
  5. Step 5: Solve for x
    x = 99,631,673,737.89/361,091.51
  6. Step 6: Final answer
    x = 275,918.07

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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.