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Finding the Fourth Proportional to 493,614.80, 739,862.46 and 226,824.03

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Solution

The fourth proportional to 493,614.80, 739,862.46 and 226,824.03 is: 339,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,614.80 : 739,862.46 = 226,824.03 : x
  2. Step 2: Convert to fraction form
    493,614.80/739,862.46 = 226,824.03/x
  3. Step 3: Cross multiply
    493,614.80x = 739,862.46 × 226,824.03
  4. Step 4: Simplify right side
    493,614.80x = 167,818,587,597.40
  5. Step 5: Solve for x
    x = 167,818,587,597.40/493,614.80
  6. Step 6: Final answer
    x = 339,978.84

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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.