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Finding the Fourth Proportional to 427,584.86, 641,598.60 and 310,224.86

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Solution

The fourth proportional to 427,584.86, 641,598.60 and 310,224.86 is: 465,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,584.86 : 641,598.60 = 310,224.86 : x
  2. Step 2: Convert to fraction form
    427,584.86/641,598.60 = 310,224.86/x
  3. Step 3: Cross multiply
    427,584.86x = 641,598.60 × 310,224.86
  4. Step 4: Simplify right side
    427,584.86x = 199,039,835,861.20
  5. Step 5: Solve for x
    x = 199,039,835,861.20/427,584.86
  6. Step 6: Final answer
    x = 465,497.86

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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.