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Finding the Fourth Proportional to 322,003.80, 483,010.14 and 97,365.96

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Solution

The fourth proportional to 322,003.80, 483,010.14 and 97,365.96 is: 146,050.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,003.80 : 483,010.14 = 97,365.96 : x
  2. Step 2: Convert to fraction form
    322,003.80/483,010.14 = 97,365.96/x
  3. Step 3: Cross multiply
    322,003.80x = 483,010.14 × 97,365.96
  4. Step 4: Simplify right side
    322,003.80x = 47,028,745,970.83
  5. Step 5: Solve for x
    x = 47,028,745,970.83/322,003.80
  6. Step 6: Final answer
    x = 146,050.28

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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.