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Finding the Fourth Proportional to 397,295.30, 594,958.80 and 254,921.60

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Solution

The fourth proportional to 397,295.30, 594,958.80 and 254,921.60 is: 381,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,295.30 : 594,958.80 = 254,921.60 : x
  2. Step 2: Convert to fraction form
    397,295.30/594,958.80 = 254,921.60/x
  3. Step 3: Cross multiply
    397,295.30x = 594,958.80 × 254,921.60
  4. Step 4: Simplify right side
    397,295.30x = 151,667,849,230.08
  5. Step 5: Solve for x
    x = 151,667,849,230.08/397,295.30
  6. Step 6: Final answer
    x = 381,750.93

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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.