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Finding the Fourth Proportional to 322,470.45, 483,706.85 and 97,832.79

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Solution

The fourth proportional to 322,470.45, 483,706.85 and 97,832.79 is: 146,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,470.45 : 483,706.85 = 97,832.79 : x
  2. Step 2: Convert to fraction form
    322,470.45/483,706.85 = 97,832.79/x
  3. Step 3: Cross multiply
    322,470.45x = 483,706.85 × 97,832.79
  4. Step 4: Simplify right side
    322,470.45x = 47,322,390,188.45
  5. Step 5: Solve for x
    x = 47,322,390,188.45/322,470.45
  6. Step 6: Final answer
    x = 146,749.54

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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.