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Finding the Fourth Proportional to 416,564.13, 574,646.90 and 244,369.47

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Solution

The fourth proportional to 416,564.13, 574,646.90 and 244,369.47 is: 337,105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,564.13 : 574,646.90 = 244,369.47 : x
  2. Step 2: Convert to fraction form
    416,564.13/574,646.90 = 244,369.47/x
  3. Step 3: Cross multiply
    416,564.13x = 574,646.90 × 244,369.47
  4. Step 4: Simplify right side
    416,564.13x = 140,426,157,168.30
  5. Step 5: Solve for x
    x = 140,426,157,168.30/416,564.13
  6. Step 6: Final answer
    x = 337,105.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.