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Finding the Fourth Proportional to 523,906.02, 722,675.25 and 319,863.78

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Solution

The fourth proportional to 523,906.02, 722,675.25 and 319,863.78 is: 441,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,906.02 : 722,675.25 = 319,863.78 : x
  2. Step 2: Convert to fraction form
    523,906.02/722,675.25 = 319,863.78/x
  3. Step 3: Cross multiply
    523,906.02x = 722,675.25 × 319,863.78
  4. Step 4: Simplify right side
    523,906.02x = 231,157,637,177.45
  5. Step 5: Solve for x
    x = 231,157,637,177.45/523,906.02
  6. Step 6: Final answer
    x = 441,219.66

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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.