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Finding the Fourth Proportional to 296,585.73, 409,286.16 and 160,616.55

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Solution

The fourth proportional to 296,585.73, 409,286.16 and 160,616.55 is: 221,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,585.73 : 409,286.16 = 160,616.55 : x
  2. Step 2: Convert to fraction form
    296,585.73/409,286.16 = 160,616.55/x
  3. Step 3: Cross multiply
    296,585.73x = 409,286.16 × 160,616.55
  4. Step 4: Simplify right side
    296,585.73x = 65,738,130,981.95
  5. Step 5: Solve for x
    x = 65,738,130,981.95/296,585.73
  6. Step 6: Final answer
    x = 221,649.68

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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.