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Finding the Fourth Proportional to 344,229.40, 515,904.27 and 277,700.86

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Solution

The fourth proportional to 344,229.40, 515,904.27 and 277,700.86 is: 416,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,229.40 : 515,904.27 = 277,700.86 : x
  2. Step 2: Convert to fraction form
    344,229.40/515,904.27 = 277,700.86/x
  3. Step 3: Cross multiply
    344,229.40x = 515,904.27 × 277,700.86
  4. Step 4: Simplify right side
    344,229.40x = 143,267,059,456.67
  5. Step 5: Solve for x
    x = 143,267,059,456.67/344,229.40
  6. Step 6: Final answer
    x = 416,196.47

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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.