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Finding the Fourth Proportional to 379,311.85, 569,049.78 and 201,793.06

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Solution

The fourth proportional to 379,311.85, 569,049.78 and 201,793.06 is: 302,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,311.85 : 569,049.78 = 201,793.06 : x
  2. Step 2: Convert to fraction form
    379,311.85/569,049.78 = 201,793.06/x
  3. Step 3: Cross multiply
    379,311.85x = 569,049.78 × 201,793.06
  4. Step 4: Simplify right side
    379,311.85x = 114,830,296,398.53
  5. Step 5: Solve for x
    x = 114,830,296,398.53/379,311.85
  6. Step 6: Final answer
    x = 302,733.22

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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.