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Finding the Fourth Proportional to 503,738.50, 695,159.13 and 277,383.46

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Solution

The fourth proportional to 503,738.50, 695,159.13 and 277,383.46 is: 382,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,738.50 : 695,159.13 = 277,383.46 : x
  2. Step 2: Convert to fraction form
    503,738.50/695,159.13 = 277,383.46/x
  3. Step 3: Cross multiply
    503,738.50x = 695,159.13 × 277,383.46
  4. Step 4: Simplify right side
    503,738.50x = 192,825,644,729.99
  5. Step 5: Solve for x
    x = 192,825,644,729.99/503,738.50
  6. Step 6: Final answer
    x = 382,789.17

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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.