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Finding the Fourth Proportional to 329,417.48, 454,420.33 and 200,395.42

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Solution

The fourth proportional to 329,417.48, 454,420.33 and 200,395.42 is: 276,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,417.48 : 454,420.33 = 200,395.42 : x
  2. Step 2: Convert to fraction form
    329,417.48/454,420.33 = 200,395.42/x
  3. Step 3: Cross multiply
    329,417.48x = 454,420.33 × 200,395.42
  4. Step 4: Simplify right side
    329,417.48x = 91,063,751,249.85
  5. Step 5: Solve for x
    x = 91,063,751,249.85/329,417.48
  6. Step 6: Final answer
    x = 276,438.73

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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.