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Finding the Fourth Proportional to 503,878, 695,351.64 and 277,523.50

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Solution

The fourth proportional to 503,878, 695,351.64 and 277,523.50 is: 382,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,878 : 695,351.64 = 277,523.50 : x
  2. Step 2: Convert to fraction form
    503,878/695,351.64 = 277,523.50/x
  3. Step 3: Cross multiply
    503,878x = 695,351.64 × 277,523.50
  4. Step 4: Simplify right side
    503,878x = 192,976,420,863.54
  5. Step 5: Solve for x
    x = 192,976,420,863.54/503,878
  6. Step 6: Final answer
    x = 382,982.43

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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.