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Finding the Fourth Proportional to 567,683.92, 851,448.12 and 331,138

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Solution

The fourth proportional to 567,683.92, 851,448.12 and 331,138 is: 496,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,683.92 : 851,448.12 = 331,138 : x
  2. Step 2: Convert to fraction form
    567,683.92/851,448.12 = 331,138/x
  3. Step 3: Cross multiply
    567,683.92x = 851,448.12 × 331,138
  4. Step 4: Simplify right side
    567,683.92x = 281,946,827,560.56
  5. Step 5: Solve for x
    x = 281,946,827,560.56/567,683.92
  6. Step 6: Final answer
    x = 496,661.64

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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.