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Finding the Fourth Proportional to 413,354.54, 620,061.89 and 173,227.41

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Solution

The fourth proportional to 413,354.54, 620,061.89 and 173,227.41 is: 259,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,354.54 : 620,061.89 = 173,227.41 : x
  2. Step 2: Convert to fraction form
    413,354.54/620,061.89 = 173,227.41/x
  3. Step 3: Cross multiply
    413,354.54x = 620,061.89 × 173,227.41
  4. Step 4: Simplify right side
    413,354.54x = 107,411,714,378.27
  5. Step 5: Solve for x
    x = 107,411,714,378.27/413,354.54
  6. Step 6: Final answer
    x = 259,853.72

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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.