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Finding the Fourth Proportional to 535,039.92, 738,361.13 and 305,627.57

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Solution

The fourth proportional to 535,039.92, 738,361.13 and 305,627.57 is: 421,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,039.92 : 738,361.13 = 305,627.57 : x
  2. Step 2: Convert to fraction form
    535,039.92/738,361.13 = 305,627.57/x
  3. Step 3: Cross multiply
    535,039.92x = 738,361.13 × 305,627.57
  4. Step 4: Simplify right side
    535,039.92x = 225,663,517,944.35
  5. Step 5: Solve for x
    x = 225,663,517,944.35/535,039.92
  6. Step 6: Final answer
    x = 421,769.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.