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Finding the Fourth Proportional to 306,791.18, 460,256.46 and 93,578.14

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Solution

The fourth proportional to 306,791.18, 460,256.46 and 93,578.14 is: 140,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,791.18 : 460,256.46 = 93,578.14 : x
  2. Step 2: Convert to fraction form
    306,791.18/460,256.46 = 93,578.14/x
  3. Step 3: Cross multiply
    306,791.18x = 460,256.46 × 93,578.14
  4. Step 4: Simplify right side
    306,791.18x = 43,069,943,449.78
  5. Step 5: Solve for x
    x = 43,069,943,449.78/306,791.18
  6. Step 6: Final answer
    x = 140,388.47

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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.