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Finding the Fourth Proportional to 289,549.24, 399,601.89 and 160,528.20

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Solution

The fourth proportional to 289,549.24, 399,601.89 and 160,528.20 is: 221,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,549.24 : 399,601.89 = 160,528.20 : x
  2. Step 2: Convert to fraction form
    289,549.24/399,601.89 = 160,528.20/x
  3. Step 3: Cross multiply
    289,549.24x = 399,601.89 × 160,528.20
  4. Step 4: Simplify right side
    289,549.24x = 64,147,370,717.97
  5. Step 5: Solve for x
    x = 64,147,370,717.97/289,549.24
  6. Step 6: Final answer
    x = 221,542.18

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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.