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Finding the Fourth Proportional to 407,264.76, 610,651.62 and 182,584.56

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Solution

The fourth proportional to 407,264.76, 610,651.62 and 182,584.56 is: 273,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,264.76 : 610,651.62 = 182,584.56 : x
  2. Step 2: Convert to fraction form
    407,264.76/610,651.62 = 182,584.56/x
  3. Step 3: Cross multiply
    407,264.76x = 610,651.62 × 182,584.56
  4. Step 4: Simplify right side
    407,264.76x = 111,495,557,350.99
  5. Step 5: Solve for x
    x = 111,495,557,350.99/407,264.76
  6. Step 6: Final answer
    x = 273,766.77

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Why These Related Problems?

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