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Finding the Fourth Proportional to 489,464.45, 734,216.57 and 233,165.26

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Solution

The fourth proportional to 489,464.45, 734,216.57 and 233,165.26 is: 349,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,464.45 : 734,216.57 = 233,165.26 : x
  2. Step 2: Convert to fraction form
    489,464.45/734,216.57 = 233,165.26/x
  3. Step 3: Cross multiply
    489,464.45x = 734,216.57 × 233,165.26
  4. Step 4: Simplify right side
    489,464.45x = 171,193,797,440.36
  5. Step 5: Solve for x
    x = 171,193,797,440.36/489,464.45
  6. Step 6: Final answer
    x = 349,757.37

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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.