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Finding the Fourth Proportional to 320,586.52, 480,945.36 and 110,197.12

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Solution

The fourth proportional to 320,586.52, 480,945.36 and 110,197.12 is: 165,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,586.52 : 480,945.36 = 110,197.12 : x
  2. Step 2: Convert to fraction form
    320,586.52/480,945.36 = 110,197.12/x
  3. Step 3: Cross multiply
    320,586.52x = 480,945.36 × 110,197.12
  4. Step 4: Simplify right side
    320,586.52x = 52,998,793,549.36
  5. Step 5: Solve for x
    x = 52,998,793,549.36/320,586.52
  6. Step 6: Final answer
    x = 165,318.22

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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.