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Finding the Fourth Proportional to 322,529.98, 483,796.51 and 97,892.36

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Solution

The fourth proportional to 322,529.98, 483,796.51 and 97,892.36 is: 146,839.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,529.98 : 483,796.51 = 97,892.36 : x
  2. Step 2: Convert to fraction form
    322,529.98/483,796.51 = 97,892.36/x
  3. Step 3: Cross multiply
    322,529.98x = 483,796.51 × 97,892.36
  4. Step 4: Simplify right side
    322,529.98x = 47,359,982,123.66
  5. Step 5: Solve for x
    x = 47,359,982,123.66/322,529.98
  6. Step 6: Final answer
    x = 146,839.01

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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.