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Finding the Fourth Proportional to 646,297.26, 969,008.49 and 225,343.50

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Solution

The fourth proportional to 646,297.26, 969,008.49 and 225,343.50 is: 337,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,297.26 : 969,008.49 = 225,343.50 : x
  2. Step 2: Convert to fraction form
    646,297.26/969,008.49 = 225,343.50/x
  3. Step 3: Cross multiply
    646,297.26x = 969,008.49 × 225,343.50
  4. Step 4: Simplify right side
    646,297.26x = 218,359,764,666.32
  5. Step 5: Solve for x
    x = 218,359,764,666.32/646,297.26
  6. Step 6: Final answer
    x = 337,862.74

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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.