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Finding the Fourth Proportional to 370,180.86, 510,850.59 and 200,414.58

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Solution

The fourth proportional to 370,180.86, 510,850.59 and 200,414.58 is: 276,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,180.86 : 510,850.59 = 200,414.58 : x
  2. Step 2: Convert to fraction form
    370,180.86/510,850.59 = 200,414.58/x
  3. Step 3: Cross multiply
    370,180.86x = 510,850.59 × 200,414.58
  4. Step 4: Simplify right side
    370,180.86x = 102,381,906,437.60
  5. Step 5: Solve for x
    x = 102,381,906,437.60/370,180.86
  6. Step 6: Final answer
    x = 276,572.66

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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.