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Finding the Fourth Proportional to 303,632.50, 419,012.86 and 169,496.50

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Solution

The fourth proportional to 303,632.50, 419,012.86 and 169,496.50 is: 233,905.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,632.50 : 419,012.86 = 169,496.50 : x
  2. Step 2: Convert to fraction form
    303,632.50/419,012.86 = 169,496.50/x
  3. Step 3: Cross multiply
    303,632.50x = 419,012.86 × 169,496.50
  4. Step 4: Simplify right side
    303,632.50x = 71,021,213,224.99
  5. Step 5: Solve for x
    x = 71,021,213,224.99/303,632.50
  6. Step 6: Final answer
    x = 233,905.18

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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.