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Finding the Fourth Proportional to 306,694.66, 460,015.56 and 186,720.55

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Solution

The fourth proportional to 306,694.66, 460,015.56 and 186,720.55 is: 280,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,694.66 : 460,015.56 = 186,720.55 : x
  2. Step 2: Convert to fraction form
    306,694.66/460,015.56 = 186,720.55/x
  3. Step 3: Cross multiply
    306,694.66x = 460,015.56 × 186,720.55
  4. Step 4: Simplify right side
    306,694.66x = 85,894,356,071.68
  5. Step 5: Solve for x
    x = 85,894,356,071.68/306,694.66
  6. Step 6: Final answer
    x = 280,064.73

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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.