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Finding the Fourth Proportional to 322,564.29, 483,791.82 and 97,870.53

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Solution

The fourth proportional to 322,564.29, 483,791.82 and 97,870.53 is: 146,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,564.29 : 483,791.82 = 97,870.53 : x
  2. Step 2: Convert to fraction form
    322,564.29/483,791.82 = 97,870.53/x
  3. Step 3: Cross multiply
    322,564.29x = 483,791.82 × 97,870.53
  4. Step 4: Simplify right side
    322,564.29x = 47,348,961,833.06
  5. Step 5: Solve for x
    x = 47,348,961,833.06/322,564.29
  6. Step 6: Final answer
    x = 146,789.22

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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.