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Finding the Fourth Proportional to 503,723, 695,137.74 and 277,367.96

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Solution

The fourth proportional to 503,723, 695,137.74 and 277,367.96 is: 382,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,723 : 695,137.74 = 277,367.96 : x
  2. Step 2: Convert to fraction form
    503,723/695,137.74 = 277,367.96/x
  3. Step 3: Cross multiply
    503,723x = 695,137.74 × 277,367.96
  4. Step 4: Simplify right side
    503,723x = 192,808,936,862.81
  5. Step 5: Solve for x
    x = 192,808,936,862.81/503,723
  6. Step 6: Final answer
    x = 382,767.78

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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.