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Finding the Fourth Proportional to 382,511.20, 527,828.52 and 221,334.16

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Solution

The fourth proportional to 382,511.20, 527,828.52 and 221,334.16 is: 305,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,511.20 : 527,828.52 = 221,334.16 : x
  2. Step 2: Convert to fraction form
    382,511.20/527,828.52 = 221,334.16/x
  3. Step 3: Cross multiply
    382,511.20x = 527,828.52 × 221,334.16
  4. Step 4: Simplify right side
    382,511.20x = 116,826,482,098.24
  5. Step 5: Solve for x
    x = 116,826,482,098.24/382,511.20
  6. Step 6: Final answer
    x = 305,419.77

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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.