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Finding the Fourth Proportional to 365,120.87, 547,191.74 and 284,165.65

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Solution

The fourth proportional to 365,120.87, 547,191.74 and 284,165.65 is: 425,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,120.87 : 547,191.74 = 284,165.65 : x
  2. Step 2: Convert to fraction form
    365,120.87/547,191.74 = 284,165.65/x
  3. Step 3: Cross multiply
    365,120.87x = 547,191.74 × 284,165.65
  4. Step 4: Simplify right side
    365,120.87x = 155,493,096,471.73
  5. Step 5: Solve for x
    x = 155,493,096,471.73/365,120.87
  6. Step 6: Final answer
    x = 425,867.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.