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Finding the Fourth Proportional to 357,494.98, 493,349 and 196,364.92

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Solution

The fourth proportional to 357,494.98, 493,349 and 196,364.92 is: 270,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,494.98 : 493,349 = 196,364.92 : x
  2. Step 2: Convert to fraction form
    357,494.98/493,349 = 196,364.92/x
  3. Step 3: Cross multiply
    357,494.98x = 493,349 × 196,364.92
  4. Step 4: Simplify right side
    357,494.98x = 96,876,436,917.08
  5. Step 5: Solve for x
    x = 96,876,436,917.08/357,494.98
  6. Step 6: Final answer
    x = 270,986.85

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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.