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Finding the Fourth Proportional to 493,609.49, 740,414.24 and 119,632.49

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Solution

The fourth proportional to 493,609.49, 740,414.24 and 119,632.49 is: 179,448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,609.49 : 740,414.24 = 119,632.49 : x
  2. Step 2: Convert to fraction form
    493,609.49/740,414.24 = 119,632.49/x
  3. Step 3: Cross multiply
    493,609.49x = 740,414.24 × 119,632.49
  4. Step 4: Simplify right side
    493,609.49x = 88,577,594,862.42
  5. Step 5: Solve for x
    x = 88,577,594,862.42/493,609.49
  6. Step 6: Final answer
    x = 179,448.73

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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.