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Finding the Fourth Proportional to 303,581.94, 419,212.71 and 189,057.24

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Solution

The fourth proportional to 303,581.94, 419,212.71 and 189,057.24 is: 261,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,581.94 : 419,212.71 = 189,057.24 : x
  2. Step 2: Convert to fraction form
    303,581.94/419,212.71 = 189,057.24/x
  3. Step 3: Cross multiply
    303,581.94x = 419,212.71 × 189,057.24
  4. Step 4: Simplify right side
    303,581.94x = 79,255,197,925.52
  5. Step 5: Solve for x
    x = 79,255,197,925.52/303,581.94
  6. Step 6: Final answer
    x = 261,066.91

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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.