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Finding the Fourth Proportional to 493,615.68, 739,863.77 and 226,824.91

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Solution

The fourth proportional to 493,615.68, 739,863.77 and 226,824.91 is: 339,980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,615.68 : 739,863.77 = 226,824.91 : x
  2. Step 2: Convert to fraction form
    493,615.68/739,863.77 = 226,824.91/x
  3. Step 3: Cross multiply
    493,615.68x = 739,863.77 × 226,824.91
  4. Step 4: Simplify right side
    493,615.68x = 167,819,533,042.51
  5. Step 5: Solve for x
    x = 167,819,533,042.51/493,615.68
  6. Step 6: Final answer
    x = 339,980.15

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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.