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Finding the Fourth Proportional to 197,458.80, 296,879.40 and 193,311.60

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Solution

The fourth proportional to 197,458.80, 296,879.40 and 193,311.60 is: 290,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,458.80 : 296,879.40 = 193,311.60 : x
  2. Step 2: Convert to fraction form
    197,458.80/296,879.40 = 193,311.60/x
  3. Step 3: Cross multiply
    197,458.80x = 296,879.40 × 193,311.60
  4. Step 4: Simplify right side
    197,458.80x = 57,390,231,821.04
  5. Step 5: Solve for x
    x = 57,390,231,821.04/197,458.80
  6. Step 6: Final answer
    x = 290,644.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.