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Finding the Fourth Proportional to 370,138.80, 510,793.14 and 200,372.92

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Solution

The fourth proportional to 370,138.80, 510,793.14 and 200,372.92 is: 276,515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,138.80 : 510,793.14 = 200,372.92 : x
  2. Step 2: Convert to fraction form
    370,138.80/510,793.14 = 200,372.92/x
  3. Step 3: Cross multiply
    370,138.80x = 510,793.14 × 200,372.92
  4. Step 4: Simplify right side
    370,138.80x = 102,349,112,977.77
  5. Step 5: Solve for x
    x = 102,349,112,977.77/370,138.80
  6. Step 6: Final answer
    x = 276,515.49

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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.