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Finding the Fourth Proportional to 296,805, 409,616.82 and 162,694.92

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Solution

The fourth proportional to 296,805, 409,616.82 and 162,694.92 is: 224,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,805 : 409,616.82 = 162,694.92 : x
  2. Step 2: Convert to fraction form
    296,805/409,616.82 = 162,694.92/x
  3. Step 3: Cross multiply
    296,805x = 409,616.82 × 162,694.92
  4. Step 4: Simplify right side
    296,805x = 66,642,575,760.55
  5. Step 5: Solve for x
    x = 66,642,575,760.55/296,805
  6. Step 6: Final answer
    x = 224,533.20

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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.