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Finding the Fourth Proportional to 613,912.87, 847,087.30 and 341,974.00

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Solution

The fourth proportional to 613,912.87, 847,087.30 and 341,974.00 is: 471,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,912.87 : 847,087.30 = 341,974.00 : x
  2. Step 2: Convert to fraction form
    613,912.87/847,087.30 = 341,974.00/x
  3. Step 3: Cross multiply
    613,912.87x = 847,087.30 × 341,974.00
  4. Step 4: Simplify right side
    613,912.87x = 289,681,833,816.53
  5. Step 5: Solve for x
    x = 289,681,833,816.53/613,912.87
  6. Step 6: Final answer
    x = 471,861.48

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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.