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Finding the Fourth Proportional to 296,718.56, 409,471.71 and 160,753.44

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Solution

The fourth proportional to 296,718.56, 409,471.71 and 160,753.44 is: 221,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,718.56 : 409,471.71 = 160,753.44 : x
  2. Step 2: Convert to fraction form
    296,718.56/409,471.71 = 160,753.44/x
  3. Step 3: Cross multiply
    296,718.56x = 409,471.71 × 160,753.44
  4. Step 4: Simplify right side
    296,718.56x = 65,823,986,897.88
  5. Step 5: Solve for x
    x = 65,823,986,897.88/296,718.56
  6. Step 6: Final answer
    x = 221,839.80

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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.