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Finding the Fourth Proportional to 296,633.97, 409,353.87 and 160,667.58

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Solution

The fourth proportional to 296,633.97, 409,353.87 and 160,667.58 is: 221,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,633.97 : 409,353.87 = 160,667.58 : x
  2. Step 2: Convert to fraction form
    296,633.97/409,353.87 = 160,667.58/x
  3. Step 3: Cross multiply
    296,633.97x = 409,353.87 × 160,667.58
  4. Step 4: Simplify right side
    296,633.97x = 65,769,895,656.53
  5. Step 5: Solve for x
    x = 65,769,895,656.53/296,633.97
  6. Step 6: Final answer
    x = 221,720.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.