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Finding the Fourth Proportional to 403,764.48, 605,462.16 and 150,859.47

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Solution

The fourth proportional to 403,764.48, 605,462.16 and 150,859.47 is: 226,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,764.48 : 605,462.16 = 150,859.47 : x
  2. Step 2: Convert to fraction form
    403,764.48/605,462.16 = 150,859.47/x
  3. Step 3: Cross multiply
    403,764.48x = 605,462.16 × 150,859.47
  4. Step 4: Simplify right side
    403,764.48x = 91,339,700,562.66
  5. Step 5: Solve for x
    x = 91,339,700,562.66/403,764.48
  6. Step 6: Final answer
    x = 226,220.25

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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.