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Finding the Fourth Proportional to 647,965.67, 894,193.01 and 361,485.76

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Solution

The fourth proportional to 647,965.67, 894,193.01 and 361,485.76 is: 498,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,965.67 : 894,193.01 = 361,485.76 : x
  2. Step 2: Convert to fraction form
    647,965.67/894,193.01 = 361,485.76/x
  3. Step 3: Cross multiply
    647,965.67x = 894,193.01 × 361,485.76
  4. Step 4: Simplify right side
    647,965.67x = 323,238,039,806.54
  5. Step 5: Solve for x
    x = 323,238,039,806.54/647,965.67
  6. Step 6: Final answer
    x = 498,850.56

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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.