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Finding the Fourth Proportional to 422,054.50, 632,884.70 and 152,147.09

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Solution

The fourth proportional to 422,054.50, 632,884.70 and 152,147.09 is: 228,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,054.50 : 632,884.70 = 152,147.09 : x
  2. Step 2: Convert to fraction form
    422,054.50/632,884.70 = 152,147.09/x
  3. Step 3: Cross multiply
    422,054.50x = 632,884.70 × 152,147.09
  4. Step 4: Simplify right side
    422,054.50x = 96,291,562,626.47
  5. Step 5: Solve for x
    x = 96,291,562,626.47/422,054.50
  6. Step 6: Final answer
    x = 228,149.59

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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.