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Finding the Fourth Proportional to 646,296.26, 969,006.99 and 225,342.50

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Solution

The fourth proportional to 646,296.26, 969,006.99 and 225,342.50 is: 337,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,296.26 : 969,006.99 = 225,342.50 : x
  2. Step 2: Convert to fraction form
    646,296.26/969,006.99 = 225,342.50/x
  3. Step 3: Cross multiply
    646,296.26x = 969,006.99 × 225,342.50
  4. Step 4: Simplify right side
    646,296.26x = 218,358,457,644.08
  5. Step 5: Solve for x
    x = 218,358,457,644.08/646,296.26
  6. Step 6: Final answer
    x = 337,861.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.