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Finding the Fourth Proportional to 306,982.74, 460,536.38 and 96,571.74

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Solution

The fourth proportional to 306,982.74, 460,536.38 and 96,571.74 is: 144,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,982.74 : 460,536.38 = 96,571.74 : x
  2. Step 2: Convert to fraction form
    306,982.74/460,536.38 = 96,571.74/x
  3. Step 3: Cross multiply
    306,982.74x = 460,536.38 × 96,571.74
  4. Step 4: Simplify right side
    306,982.74x = 44,474,799,067.04
  5. Step 5: Solve for x
    x = 44,474,799,067.04/306,982.74
  6. Step 6: Final answer
    x = 144,877.20

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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.