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Finding the Fourth Proportional to 503,288, 694,542.32 and 276,938.36

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Solution

The fourth proportional to 503,288, 694,542.32 and 276,938.36 is: 382,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,288 : 694,542.32 = 276,938.36 : x
  2. Step 2: Convert to fraction form
    503,288/694,542.32 = 276,938.36/x
  3. Step 3: Cross multiply
    503,288x = 694,542.32 × 276,938.36
  4. Step 4: Simplify right side
    503,288x = 192,345,411,051.40
  5. Step 5: Solve for x
    x = 192,345,411,051.40/503,288
  6. Step 6: Final answer
    x = 382,177.62

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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.