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Finding the Fourth Proportional to 322,402.20, 483,607.35 and 97,764.90

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Solution

The fourth proportional to 322,402.20, 483,607.35 and 97,764.90 is: 146,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,402.20 : 483,607.35 = 97,764.90 : x
  2. Step 2: Convert to fraction form
    322,402.20/483,607.35 = 97,764.90/x
  3. Step 3: Cross multiply
    322,402.20x = 483,607.35 × 97,764.90
  4. Step 4: Simplify right side
    322,402.20x = 47,279,824,212.02
  5. Step 5: Solve for x
    x = 47,279,824,212.02/322,402.20
  6. Step 6: Final answer
    x = 146,648.58

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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.