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Finding the Fourth Proportional to 524,230.85, 786,193.92 and 204,311.49

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Solution

The fourth proportional to 524,230.85, 786,193.92 and 204,311.49 is: 306,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,230.85 : 786,193.92 = 204,311.49 : x
  2. Step 2: Convert to fraction form
    524,230.85/786,193.92 = 204,311.49/x
  3. Step 3: Cross multiply
    524,230.85x = 786,193.92 × 204,311.49
  4. Step 4: Simplify right side
    524,230.85x = 160,628,451,224.14
  5. Step 5: Solve for x
    x = 160,628,451,224.14/524,230.85
  6. Step 6: Final answer
    x = 306,407.86

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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.