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Finding the Fourth Proportional to 493,313.38, 739,670.43 and 193,434.70

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Solution

The fourth proportional to 493,313.38, 739,670.43 and 193,434.70 is: 290,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,313.38 : 739,670.43 = 193,434.70 : x
  2. Step 2: Convert to fraction form
    493,313.38/739,670.43 = 193,434.70/x
  3. Step 3: Cross multiply
    493,313.38x = 739,670.43 × 193,434.70
  4. Step 4: Simplify right side
    493,313.38x = 143,077,927,725.92
  5. Step 5: Solve for x
    x = 143,077,927,725.92/493,313.38
  6. Step 6: Final answer
    x = 290,034.56

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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.