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Finding the Fourth Proportional to 361,062.50, 498,226.01 and 199,877.18

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Solution

The fourth proportional to 361,062.50, 498,226.01 and 199,877.18 is: 275,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,062.50 : 498,226.01 = 199,877.18 : x
  2. Step 2: Convert to fraction form
    361,062.50/498,226.01 = 199,877.18/x
  3. Step 3: Cross multiply
    361,062.50x = 498,226.01 × 199,877.18
  4. Step 4: Simplify right side
    361,062.50x = 99,584,006,390.94
  5. Step 5: Solve for x
    x = 99,584,006,390.94/361,062.50
  6. Step 6: Final answer
    x = 275,808.23

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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.