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Finding the Fourth Proportional to 322,489.94, 483,736.02 and 97,852.23

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Solution

The fourth proportional to 322,489.94, 483,736.02 and 97,852.23 is: 146,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,489.94 : 483,736.02 = 97,852.23 : x
  2. Step 2: Convert to fraction form
    322,489.94/483,736.02 = 97,852.23/x
  3. Step 3: Cross multiply
    322,489.94x = 483,736.02 × 97,852.23
  4. Step 4: Simplify right side
    322,489.94x = 47,334,648,288.32
  5. Step 5: Solve for x
    x = 47,334,648,288.32/322,489.94
  6. Step 6: Final answer
    x = 146,778.68

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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.