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Finding the Fourth Proportional to 361,082.44, 498,354.42 and 210,268.36

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Solution

The fourth proportional to 361,082.44, 498,354.42 and 210,268.36 is: 290,205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,082.44 : 498,354.42 = 210,268.36 : x
  2. Step 2: Convert to fraction form
    361,082.44/498,354.42 = 210,268.36/x
  3. Step 3: Cross multiply
    361,082.44x = 498,354.42 × 210,268.36
  4. Step 4: Simplify right side
    361,082.44x = 104,788,166,592.15
  5. Step 5: Solve for x
    x = 104,788,166,592.15/361,082.44
  6. Step 6: Final answer
    x = 290,205.66

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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.