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Finding the Fourth Proportional to 365,119.87, 547,190.24 and 284,164.65

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Solution

The fourth proportional to 365,119.87, 547,190.24 and 284,164.65 is: 425,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,119.87 : 547,190.24 = 284,164.65 : x
  2. Step 2: Convert to fraction form
    365,119.87/547,190.24 = 284,164.65/x
  3. Step 3: Cross multiply
    365,119.87x = 547,190.24 × 284,164.65
  4. Step 4: Simplify right side
    365,119.87x = 155,492,123,033.02
  5. Step 5: Solve for x
    x = 155,492,123,033.02/365,119.87
  6. Step 6: Final answer
    x = 425,865.96

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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.