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Finding the Fourth Proportional to 361,091.82, 498,303.12 and 195,519

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Solution

The fourth proportional to 361,091.82, 498,303.12 and 195,519 is: 269,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,091.82 : 498,303.12 = 195,519 : x
  2. Step 2: Convert to fraction form
    361,091.82/498,303.12 = 195,519/x
  3. Step 3: Cross multiply
    361,091.82x = 498,303.12 × 195,519
  4. Step 4: Simplify right side
    361,091.82x = 97,427,727,719.28
  5. Step 5: Solve for x
    x = 97,427,727,719.28/361,091.82
  6. Step 6: Final answer
    x = 269,814.28

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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.