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Finding the Fourth Proportional to 503,942.14, 695,440.20 and 277,587.64

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Solution

The fourth proportional to 503,942.14, 695,440.20 and 277,587.64 is: 383,070.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,942.14 : 695,440.20 = 277,587.64 : x
  2. Step 2: Convert to fraction form
    503,942.14/695,440.20 = 277,587.64/x
  3. Step 3: Cross multiply
    503,942.14x = 695,440.20 × 277,587.64
  4. Step 4: Simplify right side
    503,942.14x = 193,045,603,879.13
  5. Step 5: Solve for x
    x = 193,045,603,879.13/503,942.14
  6. Step 6: Final answer
    x = 383,070.97

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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.