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Finding the Fourth Proportional to 356,559.75, 491,964.37 and 211,399.58

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Solution

The fourth proportional to 356,559.75, 491,964.37 and 211,399.58 is: 291,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,559.75 : 491,964.37 = 211,399.58 : x
  2. Step 2: Convert to fraction form
    356,559.75/491,964.37 = 211,399.58/x
  3. Step 3: Cross multiply
    356,559.75x = 491,964.37 × 211,399.58
  4. Step 4: Simplify right side
    356,559.75x = 104,001,061,894.38
  5. Step 5: Solve for x
    x = 104,001,061,894.38/356,559.75
  6. Step 6: Final answer
    x = 291,679.20

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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.