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Finding the Fourth Proportional to 303,653.50, 419,041.86 and 169,517.50

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Solution

The fourth proportional to 303,653.50, 419,041.86 and 169,517.50 is: 233,934.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,653.50 : 419,041.86 = 169,517.50 : x
  2. Step 2: Convert to fraction form
    303,653.50/419,041.86 = 169,517.50/x
  3. Step 3: Cross multiply
    303,653.50x = 419,041.86 × 169,517.50
  4. Step 4: Simplify right side
    303,653.50x = 71,034,928,502.55
  5. Step 5: Solve for x
    x = 71,034,928,502.55/303,653.50
  6. Step 6: Final answer
    x = 233,934.17

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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.