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Finding the Fourth Proportional to 413,166.72, 619,545.44 and 146,887.36

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Solution

The fourth proportional to 413,166.72, 619,545.44 and 146,887.36 is: 220,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,166.72 : 619,545.44 = 146,887.36 : x
  2. Step 2: Convert to fraction form
    413,166.72/619,545.44 = 146,887.36/x
  3. Step 3: Cross multiply
    413,166.72x = 619,545.44 × 146,887.36
  4. Step 4: Simplify right side
    413,166.72x = 91,003,394,081.64
  5. Step 5: Solve for x
    x = 91,003,394,081.64/413,166.72
  6. Step 6: Final answer
    x = 220,258.29

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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.