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Finding the Fourth Proportional to 322,450.20, 483,676.47 and 97,812.60

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Solution

The fourth proportional to 322,450.20, 483,676.47 and 97,812.60 is: 146,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,450.20 : 483,676.47 = 97,812.60 : x
  2. Step 2: Convert to fraction form
    322,450.20/483,676.47 = 97,812.60/x
  3. Step 3: Cross multiply
    322,450.20x = 483,676.47 × 97,812.60
  4. Step 4: Simplify right side
    322,450.20x = 47,309,653,089.52
  5. Step 5: Solve for x
    x = 47,309,653,089.52/322,450.20
  6. Step 6: Final answer
    x = 146,719.25

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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.