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Finding the Fourth Proportional to 397,592.91, 548,904.47 and 262,020.78

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Solution

The fourth proportional to 397,592.91, 548,904.47 and 262,020.78 is: 361,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,592.91 : 548,904.47 = 262,020.78 : x
  2. Step 2: Convert to fraction form
    397,592.91/548,904.47 = 262,020.78/x
  3. Step 3: Cross multiply
    397,592.91x = 548,904.47 × 262,020.78
  4. Step 4: Simplify right side
    397,592.91x = 143,824,376,064.78
  5. Step 5: Solve for x
    x = 143,824,376,064.78/397,592.91
  6. Step 6: Final answer
    x = 361,737.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.