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Finding the Fourth Proportional to 296,487.40, 409,155.81 and 160,524.17

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Solution

The fourth proportional to 296,487.40, 409,155.81 and 160,524.17 is: 221,525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,487.40 : 409,155.81 = 160,524.17 : x
  2. Step 2: Convert to fraction form
    296,487.40/409,155.81 = 160,524.17/x
  3. Step 3: Cross multiply
    296,487.40x = 409,155.81 × 160,524.17
  4. Step 4: Simplify right side
    296,487.40x = 65,679,396,800.93
  5. Step 5: Solve for x
    x = 65,679,396,800.93/296,487.40
  6. Step 6: Final answer
    x = 221,525.09

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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.