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Finding the Fourth Proportional to 523,933, 723,027.54 and 285,469

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Solution

The fourth proportional to 523,933, 723,027.54 and 285,469 is: 393,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,933 : 723,027.54 = 285,469 : x
  2. Step 2: Convert to fraction form
    523,933/723,027.54 = 285,469/x
  3. Step 3: Cross multiply
    523,933x = 723,027.54 × 285,469
  4. Step 4: Simplify right side
    523,933x = 206,401,948,816.26
  5. Step 5: Solve for x
    x = 206,401,948,816.26/523,933
  6. Step 6: Final answer
    x = 393,947.22

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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.