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Finding the Fourth Proportional to 362,878.11, 500,786.22 and 199,548.01

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Solution

The fourth proportional to 362,878.11, 500,786.22 and 199,548.01 is: 275,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,878.11 : 500,786.22 = 199,548.01 : x
  2. Step 2: Convert to fraction form
    362,878.11/500,786.22 = 199,548.01/x
  3. Step 3: Cross multiply
    362,878.11x = 500,786.22 × 199,548.01
  4. Step 4: Simplify right side
    362,878.11x = 99,930,893,636.42
  5. Step 5: Solve for x
    x = 99,930,893,636.42/362,878.11
  6. Step 6: Final answer
    x = 275,384.19

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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.