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Finding the Fourth Proportional to 467,999.67, 645,839.70 and 264,093.93

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Solution

The fourth proportional to 467,999.67, 645,839.70 and 264,093.93 is: 364,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,999.67 : 645,839.70 = 264,093.93 : x
  2. Step 2: Convert to fraction form
    467,999.67/645,839.70 = 264,093.93/x
  3. Step 3: Cross multiply
    467,999.67x = 645,839.70 × 264,093.93
  4. Step 4: Simplify right side
    467,999.67x = 170,562,344,523.02
  5. Step 5: Solve for x
    x = 170,562,344,523.02/467,999.67
  6. Step 6: Final answer
    x = 364,449.71

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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.