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Finding the Fourth Proportional to 361,055.36, 498,271.96 and 199,910.40

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Solution

The fourth proportional to 361,055.36, 498,271.96 and 199,910.40 is: 275,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,055.36 : 498,271.96 = 199,910.40 : x
  2. Step 2: Convert to fraction form
    361,055.36/498,271.96 = 199,910.40/x
  3. Step 3: Cross multiply
    361,055.36x = 498,271.96 × 199,910.40
  4. Step 4: Simplify right side
    361,055.36x = 99,609,746,832.38
  5. Step 5: Solve for x
    x = 99,609,746,832.38/361,055.36
  6. Step 6: Final answer
    x = 275,884.97

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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.