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Finding the Fourth Proportional to 357,124.92, 492,755.40 and 206,134.44

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Solution

The fourth proportional to 357,124.92, 492,755.40 and 206,134.44 is: 284,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,124.92 : 492,755.40 = 206,134.44 : x
  2. Step 2: Convert to fraction form
    357,124.92/492,755.40 = 206,134.44/x
  3. Step 3: Cross multiply
    357,124.92x = 492,755.40 × 206,134.44
  4. Step 4: Simplify right side
    357,124.92x = 101,573,858,435.98
  5. Step 5: Solve for x
    x = 101,573,858,435.98/357,124.92
  6. Step 6: Final answer
    x = 284,421.09

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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.