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Finding the Fourth Proportional to 526,222.78, 726,187.38 and 284,505.31

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Solution

The fourth proportional to 526,222.78, 726,187.38 and 284,505.31 is: 392,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,222.78 : 726,187.38 = 284,505.31 : x
  2. Step 2: Convert to fraction form
    526,222.78/726,187.38 = 284,505.31/x
  3. Step 3: Cross multiply
    526,222.78x = 726,187.38 × 284,505.31
  4. Step 4: Simplify right side
    526,222.78x = 206,604,165,505.83
  5. Step 5: Solve for x
    x = 206,604,165,505.83/526,222.78
  6. Step 6: Final answer
    x = 392,617.30

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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.