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Finding the Fourth Proportional to 403,452.86, 605,223.14 and 150,854.36

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Solution

The fourth proportional to 403,452.86, 605,223.14 and 150,854.36 is: 226,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,452.86 : 605,223.14 = 150,854.36 : x
  2. Step 2: Convert to fraction form
    403,452.86/605,223.14 = 150,854.36/x
  3. Step 3: Cross multiply
    403,452.86x = 605,223.14 × 150,854.36
  4. Step 4: Simplify right side
    403,452.86x = 91,300,550,200.68
  5. Step 5: Solve for x
    x = 91,300,550,200.68/403,452.86
  6. Step 6: Final answer
    x = 226,297.94

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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.