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Finding the Fourth Proportional to 361,085, 498,291.18 and 199,936.58

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Solution

The fourth proportional to 361,085, 498,291.18 and 199,936.58 is: 275,909.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,085 : 498,291.18 = 199,936.58 : x
  2. Step 2: Convert to fraction form
    361,085/498,291.18 = 199,936.58/x
  3. Step 3: Cross multiply
    361,085x = 498,291.18 × 199,936.58
  4. Step 4: Simplify right side
    361,085x = 99,626,634,373.36
  5. Step 5: Solve for x
    x = 99,626,634,373.36/361,085
  6. Step 6: Final answer
    x = 275,909.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.