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Finding the Fourth Proportional to 296,518.41, 409,224.74 and 169,213.14

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Solution

The fourth proportional to 296,518.41, 409,224.74 and 169,213.14 is: 233,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,518.41 : 409,224.74 = 169,213.14 : x
  2. Step 2: Convert to fraction form
    296,518.41/409,224.74 = 169,213.14/x
  3. Step 3: Cross multiply
    296,518.41x = 409,224.74 × 169,213.14
  4. Step 4: Simplify right side
    296,518.41x = 69,246,202,375.02
  5. Step 5: Solve for x
    x = 69,246,202,375.02/296,518.41
  6. Step 6: Final answer
    x = 233,530.87

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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.