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Finding the Fourth Proportional to 386,723.70, 580,522.95 and 209,139.30

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Solution

The fourth proportional to 386,723.70, 580,522.95 and 209,139.30 is: 313,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,723.70 : 580,522.95 = 209,139.30 : x
  2. Step 2: Convert to fraction form
    386,723.70/580,522.95 = 209,139.30/x
  3. Step 3: Cross multiply
    386,723.70x = 580,522.95 × 209,139.30
  4. Step 4: Simplify right side
    386,723.70x = 121,410,163,396.94
  5. Step 5: Solve for x
    x = 121,410,163,396.94/386,723.70
  6. Step 6: Final answer
    x = 313,945.49

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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.