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Finding the Fourth Proportional to 361,062.48, 498,225.99 and 199,877.16

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Solution

The fourth proportional to 361,062.48, 498,225.99 and 199,877.16 is: 275,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,062.48 : 498,225.99 = 199,877.16 : x
  2. Step 2: Convert to fraction form
    361,062.48/498,225.99 = 199,877.16/x
  3. Step 3: Cross multiply
    361,062.48x = 498,225.99 × 199,877.16
  4. Step 4: Simplify right side
    361,062.48x = 99,583,995,919.39
  5. Step 5: Solve for x
    x = 99,583,995,919.39/361,062.48
  6. Step 6: Final answer
    x = 275,808.21

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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.