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Finding the Fourth Proportional to 463,441.30, 695,610.67 and 223,723.54

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Solution

The fourth proportional to 463,441.30, 695,610.67 and 223,723.54 is: 335,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,441.30 : 695,610.67 = 223,723.54 : x
  2. Step 2: Convert to fraction form
    463,441.30/695,610.67 = 223,723.54/x
  3. Step 3: Cross multiply
    463,441.30x = 695,610.67 × 223,723.54
  4. Step 4: Simplify right side
    463,441.30x = 155,624,481,554.17
  5. Step 5: Solve for x
    x = 155,624,481,554.17/463,441.30
  6. Step 6: Final answer
    x = 335,801.93

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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.