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Finding the Fourth Proportional to 493,615.92, 739,864.15 and 226,825.16

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Solution

The fourth proportional to 493,615.92, 739,864.15 and 226,825.16 is: 339,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,615.92 : 739,864.15 = 226,825.16 : x
  2. Step 2: Convert to fraction form
    493,615.92/739,864.15 = 226,825.16/x
  3. Step 3: Cross multiply
    493,615.92x = 739,864.15 × 226,825.16
  4. Step 4: Simplify right side
    493,615.92x = 167,819,804,202.01
  5. Step 5: Solve for x
    x = 167,819,804,202.01/493,615.92
  6. Step 6: Final answer
    x = 339,980.53

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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.