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Finding the Fourth Proportional to 503,282, 694,534.02 and 276,932.36

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Solution

The fourth proportional to 503,282, 694,534.02 and 276,932.36 is: 382,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,282 : 694,534.02 = 276,932.36 : x
  2. Step 2: Convert to fraction form
    503,282/694,534.02 = 276,932.36/x
  3. Step 3: Cross multiply
    503,282x = 694,534.02 × 276,932.36
  4. Step 4: Simplify right side
    503,282x = 192,338,945,258.89
  5. Step 5: Solve for x
    x = 192,338,945,258.89/503,282
  6. Step 6: Final answer
    x = 382,169.33

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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.