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Finding the Fourth Proportional to 413,163.52, 619,643.24 and 113,629.60

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Solution

The fourth proportional to 413,163.52, 619,643.24 and 113,629.60 is: 170,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,163.52 : 619,643.24 = 113,629.60 : x
  2. Step 2: Convert to fraction form
    413,163.52/619,643.24 = 113,629.60/x
  3. Step 3: Cross multiply
    413,163.52x = 619,643.24 × 113,629.60
  4. Step 4: Simplify right side
    413,163.52x = 70,409,813,503.90
  5. Step 5: Solve for x
    x = 70,409,813,503.90/413,163.52
  6. Step 6: Final answer
    x = 170,416.34

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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.