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Finding the Fourth Proportional to 357,099, 492,795.24 and 195,956.73

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Solution

The fourth proportional to 357,099, 492,795.24 and 195,956.73 is: 270,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,099 : 492,795.24 = 195,956.73 : x
  2. Step 2: Convert to fraction form
    357,099/492,795.24 = 195,956.73/x
  3. Step 3: Cross multiply
    357,099x = 492,795.24 × 195,956.73
  4. Step 4: Simplify right side
    357,099x = 96,566,543,789.97
  5. Step 5: Solve for x
    x = 96,566,543,789.97/357,099
  6. Step 6: Final answer
    x = 270,419.53

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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.