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Finding the Fourth Proportional to 369,719.97, 510,213.90 and 199,954.10

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Solution

The fourth proportional to 369,719.97, 510,213.90 and 199,954.10 is: 275,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,719.97 : 510,213.90 = 199,954.10 : x
  2. Step 2: Convert to fraction form
    369,719.97/510,213.90 = 199,954.10/x
  3. Step 3: Cross multiply
    369,719.97x = 510,213.90 × 199,954.10
  4. Step 4: Simplify right side
    369,719.97x = 102,019,361,181.99
  5. Step 5: Solve for x
    x = 102,019,361,181.99/369,719.97
  6. Step 6: Final answer
    x = 275,936.84

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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.