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Finding the Fourth Proportional to 526,427.24, 726,469.58 and 284,709.80

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Solution

The fourth proportional to 526,427.24, 726,469.58 and 284,709.80 is: 392,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,427.24 : 726,469.58 = 284,709.80 : x
  2. Step 2: Convert to fraction form
    526,427.24/726,469.58 = 284,709.80/x
  3. Step 3: Cross multiply
    526,427.24x = 726,469.58 × 284,709.80
  4. Step 4: Simplify right side
    526,427.24x = 206,833,011,355.83
  5. Step 5: Solve for x
    x = 206,833,011,355.83/526,427.24
  6. Step 6: Final answer
    x = 392,899.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.