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Finding the Fourth Proportional to 382,060.44, 527,255.26 and 209,975.27

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Solution

The fourth proportional to 382,060.44, 527,255.26 and 209,975.27 is: 289,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,060.44 : 527,255.26 = 209,975.27 : x
  2. Step 2: Convert to fraction form
    382,060.44/527,255.26 = 209,975.27/x
  3. Step 3: Cross multiply
    382,060.44x = 527,255.26 × 209,975.27
  4. Step 4: Simplify right side
    382,060.44x = 110,710,565,577.42
  5. Step 5: Solve for x
    x = 110,710,565,577.42/382,060.44
  6. Step 6: Final answer
    x = 289,772.39

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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.