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Finding the Fourth Proportional to 379,454.56, 523,647.12 and 209,687.20

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Solution

The fourth proportional to 379,454.56, 523,647.12 and 209,687.20 is: 289,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,454.56 : 523,647.12 = 209,687.20 : x
  2. Step 2: Convert to fraction form
    379,454.56/523,647.12 = 209,687.20/x
  3. Step 3: Cross multiply
    379,454.56x = 523,647.12 × 209,687.20
  4. Step 4: Simplify right side
    379,454.56x = 109,802,098,380.86
  5. Step 5: Solve for x
    x = 109,802,098,380.86/379,454.56
  6. Step 6: Final answer
    x = 289,368.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.