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Finding the Fourth Proportional to 523,963.25, 785,865.91 and 335,738.94

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Solution

The fourth proportional to 523,963.25, 785,865.91 and 335,738.94 is: 503,557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,963.25 : 785,865.91 = 335,738.94 : x
  2. Step 2: Convert to fraction form
    523,963.25/785,865.91 = 335,738.94/x
  3. Step 3: Cross multiply
    523,963.25x = 785,865.91 × 335,738.94
  4. Step 4: Simplify right side
    523,963.25x = 263,845,784,238.87
  5. Step 5: Solve for x
    x = 263,845,784,238.87/523,963.25
  6. Step 6: Final answer
    x = 503,557.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.