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Finding the Fourth Proportional to 333,876.36, 500,896.26 and 97,221.24

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Solution

The fourth proportional to 333,876.36, 500,896.26 and 97,221.24 is: 145,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,876.36 : 500,896.26 = 97,221.24 : x
  2. Step 2: Convert to fraction form
    333,876.36/500,896.26 = 97,221.24/x
  3. Step 3: Cross multiply
    333,876.36x = 500,896.26 × 97,221.24
  4. Step 4: Simplify right side
    333,876.36x = 48,697,755,508.56
  5. Step 5: Solve for x
    x = 48,697,755,508.56/333,876.36
  6. Step 6: Final answer
    x = 145,855.66

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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.