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Finding the Fourth Proportional to 344,228.40, 515,902.77 and 277,699.86

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Solution

The fourth proportional to 344,228.40, 515,902.77 and 277,699.86 is: 416,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,228.40 : 515,902.77 = 277,699.86 : x
  2. Step 2: Convert to fraction form
    344,228.40/515,902.77 = 277,699.86/x
  3. Step 3: Cross multiply
    344,228.40x = 515,902.77 × 277,699.86
  4. Step 4: Simplify right side
    344,228.40x = 143,266,127,002.61
  5. Step 5: Solve for x
    x = 143,266,127,002.61/344,228.40
  6. Step 6: Final answer
    x = 416,194.97

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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.