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Finding the Fourth Proportional to 370,180.36, 510,849.90 and 200,414.08

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Solution

The fourth proportional to 370,180.36, 510,849.90 and 200,414.08 is: 276,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,180.36 : 510,849.90 = 200,414.08 : x
  2. Step 2: Convert to fraction form
    370,180.36/510,849.90 = 200,414.08/x
  3. Step 3: Cross multiply
    370,180.36x = 510,849.90 × 200,414.08
  4. Step 4: Simplify right side
    370,180.36x = 102,381,512,726.59
  5. Step 5: Solve for x
    x = 102,381,512,726.59/370,180.36
  6. Step 6: Final answer
    x = 276,571.97

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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.