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Finding the Fourth Proportional to 523,902.61, 785,859.41 and 419,385.97

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Solution

The fourth proportional to 523,902.61, 785,859.41 and 419,385.97 is: 629,083.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,902.61 : 785,859.41 = 419,385.97 : x
  2. Step 2: Convert to fraction form
    523,902.61/785,859.41 = 419,385.97/x
  3. Step 3: Cross multiply
    523,902.61x = 785,859.41 × 419,385.97
  4. Step 4: Simplify right side
    523,902.61x = 329,578,410,946.48
  5. Step 5: Solve for x
    x = 329,578,410,946.48/523,902.61
  6. Step 6: Final answer
    x = 629,083.35

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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.