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Finding the Fourth Proportional to 296,551.69, 409,241.52 and 160,586.71

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Solution

The fourth proportional to 296,551.69, 409,241.52 and 160,586.71 is: 221,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,551.69 : 409,241.52 = 160,586.71 : x
  2. Step 2: Convert to fraction form
    296,551.69/409,241.52 = 160,586.71/x
  3. Step 3: Cross multiply
    296,551.69x = 409,241.52 × 160,586.71
  4. Step 4: Simplify right side
    296,551.69x = 65,718,749,292.20
  5. Step 5: Solve for x
    x = 65,718,749,292.20/296,551.69
  6. Step 6: Final answer
    x = 221,609.76

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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.