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Finding the Fourth Proportional to 503,359.50, 694,637.47 and 277,005

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Solution

The fourth proportional to 503,359.50, 694,637.47 and 277,005 is: 382,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,359.50 : 694,637.47 = 277,005 : x
  2. Step 2: Convert to fraction form
    503,359.50/694,637.47 = 277,005/x
  3. Step 3: Cross multiply
    503,359.50x = 694,637.47 × 277,005
  4. Step 4: Simplify right side
    503,359.50x = 192,418,052,377.35
  5. Step 5: Solve for x
    x = 192,418,052,377.35/503,359.50
  6. Step 6: Final answer
    x = 382,267.65

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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.