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Finding the Fourth Proportional to 296,474.99, 409,132.28 and 160,506.43

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Solution

The fourth proportional to 296,474.99, 409,132.28 and 160,506.43 is: 221,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,474.99 : 409,132.28 = 160,506.43 : x
  2. Step 2: Convert to fraction form
    296,474.99/409,132.28 = 160,506.43/x
  3. Step 3: Cross multiply
    296,474.99x = 409,132.28 × 160,506.43
  4. Step 4: Simplify right side
    296,474.99x = 65,668,361,039.00
  5. Step 5: Solve for x
    x = 65,668,361,039.00/296,474.99
  6. Step 6: Final answer
    x = 221,497.14

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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.