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Finding the Fourth Proportional to 418,223.25, 576,884.73 and 333,542.61

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Solution

The fourth proportional to 418,223.25, 576,884.73 and 333,542.61 is: 460,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,223.25 : 576,884.73 = 333,542.61 : x
  2. Step 2: Convert to fraction form
    418,223.25/576,884.73 = 333,542.61/x
  3. Step 3: Cross multiply
    418,223.25x = 576,884.73 × 333,542.61
  4. Step 4: Simplify right side
    418,223.25x = 192,415,639,764.13
  5. Step 5: Solve for x
    x = 192,415,639,764.13/418,223.25
  6. Step 6: Final answer
    x = 460,078.77

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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.