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Finding the Fourth Proportional to 567,261.20, 850,834.20 and 193,278.80

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Solution

The fourth proportional to 567,261.20, 850,834.20 and 193,278.80 is: 289,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,261.20 : 850,834.20 = 193,278.80 : x
  2. Step 2: Convert to fraction form
    567,261.20/850,834.20 = 193,278.80/x
  3. Step 3: Cross multiply
    567,261.20x = 850,834.20 × 193,278.80
  4. Step 4: Simplify right side
    567,261.20x = 164,448,213,174.96
  5. Step 5: Solve for x
    x = 164,448,213,174.96/567,261.20
  6. Step 6: Final answer
    x = 289,898.57

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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.