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Finding the Fourth Proportional to 296,575.26, 409,274.22 and 160,609.41

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Solution

The fourth proportional to 296,575.26, 409,274.22 and 160,609.41 is: 221,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,575.26 : 409,274.22 = 160,609.41 : x
  2. Step 2: Convert to fraction form
    296,575.26/409,274.22 = 160,609.41/x
  3. Step 3: Cross multiply
    296,575.26x = 409,274.22 × 160,609.41
  4. Step 4: Simplify right side
    296,575.26x = 65,733,291,002.41
  5. Step 5: Solve for x
    x = 65,733,291,002.41/296,575.26
  6. Step 6: Final answer
    x = 221,641.18

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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.