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Finding the Fourth Proportional to 467,046.45, 699,093.45 and 334,186.20

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Solution

The fourth proportional to 467,046.45, 699,093.45 and 334,186.20 is: 500,223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,046.45 : 699,093.45 = 334,186.20 : x
  2. Step 2: Convert to fraction form
    467,046.45/699,093.45 = 334,186.20/x
  3. Step 3: Cross multiply
    467,046.45x = 699,093.45 × 334,186.20
  4. Step 4: Simplify right side
    467,046.45x = 233,627,383,500.39
  5. Step 5: Solve for x
    x = 233,627,383,500.39/467,046.45
  6. Step 6: Final answer
    x = 500,223.02

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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.