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Finding the Fourth Proportional to 322,469.20, 483,707.85 and 97,831.90

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Solution

The fourth proportional to 322,469.20, 483,707.85 and 97,831.90 is: 146,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,469.20 : 483,707.85 = 97,831.90 : x
  2. Step 2: Convert to fraction form
    322,469.20/483,707.85 = 97,831.90/x
  3. Step 3: Cross multiply
    322,469.20x = 483,707.85 × 97,831.90
  4. Step 4: Simplify right side
    322,469.20x = 47,322,058,010.42
  5. Step 5: Solve for x
    x = 47,322,058,010.42/322,469.20
  6. Step 6: Final answer
    x = 146,749.08

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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.