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Finding the Fourth Proportional to 384,000.27, 529,933.10 and 209,580

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Solution

The fourth proportional to 384,000.27, 529,933.10 and 209,580 is: 289,227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,000.27 : 529,933.10 = 209,580 : x
  2. Step 2: Convert to fraction form
    384,000.27/529,933.10 = 209,580/x
  3. Step 3: Cross multiply
    384,000.27x = 529,933.10 × 209,580
  4. Step 4: Simplify right side
    384,000.27x = 111,063,379,098
  5. Step 5: Solve for x
    x = 111,063,379,098/384,000.27
  6. Step 6: Final answer
    x = 289,227.35

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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.