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Finding the Fourth Proportional to 493,274.72, 739,912.44 and 119,298.08

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Solution

The fourth proportional to 493,274.72, 739,912.44 and 119,298.08 is: 178,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,274.72 : 739,912.44 = 119,298.08 : x
  2. Step 2: Convert to fraction form
    493,274.72/739,912.44 = 119,298.08/x
  3. Step 3: Cross multiply
    493,274.72x = 739,912.44 × 119,298.08
  4. Step 4: Simplify right side
    493,274.72x = 88,270,133,460.12
  5. Step 5: Solve for x
    x = 88,270,133,460.12/493,274.72
  6. Step 6: Final answer
    x = 178,947.21

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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.