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Finding the Fourth Proportional to 306,578.40, 423,086.40 and 185,694

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Solution

The fourth proportional to 306,578.40, 423,086.40 and 185,694 is: 256,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,578.40 : 423,086.40 = 185,694 : x
  2. Step 2: Convert to fraction form
    306,578.40/423,086.40 = 185,694/x
  3. Step 3: Cross multiply
    306,578.40x = 423,086.40 × 185,694
  4. Step 4: Simplify right side
    306,578.40x = 78,564,605,961.60
  5. Step 5: Solve for x
    x = 78,564,605,961.60/306,578.40
  6. Step 6: Final answer
    x = 256,262.69

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