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Finding the Fourth Proportional to 567,431.96, 851,351.21 and 243,084

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Solution

The fourth proportional to 567,431.96, 851,351.21 and 243,084 is: 364,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,431.96 : 851,351.21 = 243,084 : x
  2. Step 2: Convert to fraction form
    567,431.96/851,351.21 = 243,084/x
  3. Step 3: Cross multiply
    567,431.96x = 851,351.21 × 243,084
  4. Step 4: Simplify right side
    567,431.96x = 206,949,856,316.22
  5. Step 5: Solve for x
    x = 206,949,856,316.22/567,431.96
  6. Step 6: Final answer
    x = 364,713.08

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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.