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Finding the Fourth Proportional to 446,163.78, 669,176.42 and 146,642.36

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Solution

The fourth proportional to 446,163.78, 669,176.42 and 146,642.36 is: 219,940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,163.78 : 669,176.42 = 146,642.36 : x
  2. Step 2: Convert to fraction form
    446,163.78/669,176.42 = 146,642.36/x
  3. Step 3: Cross multiply
    446,163.78x = 669,176.42 × 146,642.36
  4. Step 4: Simplify right side
    446,163.78x = 98,129,605,406.06
  5. Step 5: Solve for x
    x = 98,129,605,406.06/446,163.78
  6. Step 6: Final answer
    x = 219,940.77

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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.