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Finding the Fourth Proportional to 296,634.05, 409,354.00 and 160,667.65

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Solution

The fourth proportional to 296,634.05, 409,354.00 and 160,667.65 is: 221,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,634.05 : 409,354.00 = 160,667.65 : x
  2. Step 2: Convert to fraction form
    296,634.05/409,354.00 = 160,667.65/x
  3. Step 3: Cross multiply
    296,634.05x = 409,354.00 × 160,667.65
  4. Step 4: Simplify right side
    296,634.05x = 65,769,946,211.88
  5. Step 5: Solve for x
    x = 65,769,946,211.88/296,634.05
  6. Step 6: Final answer
    x = 221,720.83

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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.