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Finding the Fourth Proportional to 403,163.85, 604,698.99 and 150,453.16

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Solution

The fourth proportional to 403,163.85, 604,698.99 and 150,453.16 is: 225,662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,163.85 : 604,698.99 = 150,453.16 : x
  2. Step 2: Convert to fraction form
    403,163.85/604,698.99 = 150,453.16/x
  3. Step 3: Cross multiply
    403,163.85x = 604,698.99 × 150,453.16
  4. Step 4: Simplify right side
    403,163.85x = 90,978,873,894.31
  5. Step 5: Solve for x
    x = 90,978,873,894.31/403,163.85
  6. Step 6: Final answer
    x = 225,662.28

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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.