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Finding the Fourth Proportional to 296,682.72, 409,423.41 and 160,716.67

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Solution

The fourth proportional to 296,682.72, 409,423.41 and 160,716.67 is: 221,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,682.72 : 409,423.41 = 160,716.67 : x
  2. Step 2: Convert to fraction form
    296,682.72/409,423.41 = 160,716.67/x
  3. Step 3: Cross multiply
    296,682.72x = 409,423.41 × 160,716.67
  4. Step 4: Simplify right side
    296,682.72x = 65,801,167,075.24
  5. Step 5: Solve for x
    x = 65,801,167,075.24/296,682.72
  6. Step 6: Final answer
    x = 221,789.68

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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.