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Finding the Fourth Proportional to 382,495.43, 527,861.55 and 221,319.30

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Solution

The fourth proportional to 382,495.43, 527,861.55 and 221,319.30 is: 305,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,495.43 : 527,861.55 = 221,319.30 : x
  2. Step 2: Convert to fraction form
    382,495.43/527,861.55 = 221,319.30/x
  3. Step 3: Cross multiply
    382,495.43x = 527,861.55 × 221,319.30
  4. Step 4: Simplify right side
    382,495.43x = 116,825,948,742.92
  5. Step 5: Solve for x
    x = 116,825,948,742.92/382,495.43
  6. Step 6: Final answer
    x = 305,430.97

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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.