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Finding the Fourth Proportional to 365,119.37, 547,189.49 and 284,164.15

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Solution

The fourth proportional to 365,119.37, 547,189.49 and 284,164.15 is: 425,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,119.37 : 547,189.49 = 284,164.15 : x
  2. Step 2: Convert to fraction form
    365,119.37/547,189.49 = 284,164.15/x
  3. Step 3: Cross multiply
    365,119.37x = 547,189.49 × 284,164.15
  4. Step 4: Simplify right side
    365,119.37x = 155,491,636,314.78
  5. Step 5: Solve for x
    x = 155,491,636,314.78/365,119.37
  6. Step 6: Final answer
    x = 425,865.21

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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.