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Finding the Fourth Proportional to 413,167.72, 619,546.94 and 146,888.36

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Solution

The fourth proportional to 413,167.72, 619,546.94 and 146,888.36 is: 220,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,167.72 : 619,546.94 = 146,888.36 : x
  2. Step 2: Convert to fraction form
    413,167.72/619,546.94 = 146,888.36/x
  3. Step 3: Cross multiply
    413,167.72x = 619,546.94 × 146,888.36
  4. Step 4: Simplify right side
    413,167.72x = 91,004,233,959.62
  5. Step 5: Solve for x
    x = 91,004,233,959.62/413,167.72
  6. Step 6: Final answer
    x = 220,259.79

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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.