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Finding the Fourth Proportional to 360,098.31, 496,893.31 and 198,943.75

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Solution

The fourth proportional to 360,098.31, 496,893.31 and 198,943.75 is: 274,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,098.31 : 496,893.31 = 198,943.75 : x
  2. Step 2: Convert to fraction form
    360,098.31/496,893.31 = 198,943.75/x
  3. Step 3: Cross multiply
    360,098.31x = 496,893.31 × 198,943.75
  4. Step 4: Simplify right side
    360,098.31x = 98,853,816,701.72
  5. Step 5: Solve for x
    x = 98,853,816,701.72/360,098.31
  6. Step 6: Final answer
    x = 274,518.97

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1.5x scale

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.