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Finding the Fourth Proportional to 322,493.94, 483,742.02 and 97,856.23

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Solution

The fourth proportional to 322,493.94, 483,742.02 and 97,856.23 is: 146,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,493.94 : 483,742.02 = 97,856.23 : x
  2. Step 2: Convert to fraction form
    322,493.94/483,742.02 = 97,856.23/x
  3. Step 3: Cross multiply
    322,493.94x = 483,742.02 × 97,856.23
  4. Step 4: Simplify right side
    322,493.94x = 47,337,170,369.78
  5. Step 5: Solve for x
    x = 47,337,170,369.78/322,493.94
  6. Step 6: Final answer
    x = 146,784.68

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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.