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Finding the Fourth Proportional to 463,914.86, 694,690.98 and 305,663.54

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Solution

The fourth proportional to 463,914.86, 694,690.98 and 305,663.54 is: 457,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,914.86 : 694,690.98 = 305,663.54 : x
  2. Step 2: Convert to fraction form
    463,914.86/694,690.98 = 305,663.54/x
  3. Step 3: Cross multiply
    463,914.86x = 694,690.98 × 305,663.54
  4. Step 4: Simplify right side
    463,914.86x = 212,341,704,152.87
  5. Step 5: Solve for x
    x = 212,341,704,152.87/463,914.86
  6. Step 6: Final answer
    x = 457,716.97

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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.