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Finding the Fourth Proportional to 356,083.20, 491,536.80 and 233,622.24

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Solution

The fourth proportional to 356,083.20, 491,536.80 and 233,622.24 is: 322,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,083.20 : 491,536.80 = 233,622.24 : x
  2. Step 2: Convert to fraction form
    356,083.20/491,536.80 = 233,622.24/x
  3. Step 3: Cross multiply
    356,083.20x = 491,536.80 × 233,622.24
  4. Step 4: Simplify right side
    356,083.20x = 114,833,928,258.43
  5. Step 5: Solve for x
    x = 114,833,928,258.43/356,083.20
  6. Step 6: Final answer
    x = 322,491.85

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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.