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Finding the Fourth Proportional to 302,361.95, 417,172.92 and 194,993.61

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Solution

The fourth proportional to 302,361.95, 417,172.92 and 194,993.61 is: 269,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,361.95 : 417,172.92 = 194,993.61 : x
  2. Step 2: Convert to fraction form
    302,361.95/417,172.92 = 194,993.61/x
  3. Step 3: Cross multiply
    302,361.95x = 417,172.92 × 194,993.61
  4. Step 4: Simplify right side
    302,361.95x = 81,346,053,665.04
  5. Step 5: Solve for x
    x = 81,346,053,665.04/302,361.95
  6. Step 6: Final answer
    x = 269,035.36

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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.