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Finding the Fourth Proportional to 421,153.86, 581,191.38 and 239,865.78

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Solution

The fourth proportional to 421,153.86, 581,191.38 and 239,865.78 is: 331,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,153.86 : 581,191.38 = 239,865.78 : x
  2. Step 2: Convert to fraction form
    421,153.86/581,191.38 = 239,865.78/x
  3. Step 3: Cross multiply
    421,153.86x = 581,191.38 × 239,865.78
  4. Step 4: Simplify right side
    421,153.86x = 139,407,923,692.98
  5. Step 5: Solve for x
    x = 139,407,923,692.98/421,153.86
  6. Step 6: Final answer
    x = 331,014.24

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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.