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Finding the Fourth Proportional to 410,105.80, 614,640.30 and 365,523.40

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Solution

The fourth proportional to 410,105.80, 614,640.30 and 365,523.40 is: 547,823.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,105.80 : 614,640.30 = 365,523.40 : x
  2. Step 2: Convert to fraction form
    410,105.80/614,640.30 = 365,523.40/x
  3. Step 3: Cross multiply
    410,105.80x = 614,640.30 × 365,523.40
  4. Step 4: Simplify right side
    410,105.80x = 224,665,412,233.02
  5. Step 5: Solve for x
    x = 224,665,412,233.02/410,105.80
  6. Step 6: Final answer
    x = 547,823.06

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