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Finding the Fourth Proportional to 357,174.44, 492,930.96 and 196,056.77

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Solution

The fourth proportional to 357,174.44, 492,930.96 and 196,056.77 is: 270,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,174.44 : 492,930.96 = 196,056.77 : x
  2. Step 2: Convert to fraction form
    357,174.44/492,930.96 = 196,056.77/x
  3. Step 3: Cross multiply
    357,174.44x = 492,930.96 × 196,056.77
  4. Step 4: Simplify right side
    357,174.44x = 96,642,451,850.60
  5. Step 5: Solve for x
    x = 96,642,451,850.60/357,174.44
  6. Step 6: Final answer
    x = 270,574.94

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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.