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Finding the Fourth Proportional to 325,749.48, 488,617.30 and 89,092.16

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Solution

The fourth proportional to 325,749.48, 488,617.30 and 89,092.16 is: 133,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,749.48 : 488,617.30 = 89,092.16 : x
  2. Step 2: Convert to fraction form
    325,749.48/488,617.30 = 89,092.16/x
  3. Step 3: Cross multiply
    325,749.48x = 488,617.30 × 89,092.16
  4. Step 4: Simplify right side
    325,749.48x = 43,531,970,670.37
  5. Step 5: Solve for x
    x = 43,531,970,670.37/325,749.48
  6. Step 6: Final answer
    x = 133,636.35

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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.