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Finding the Fourth Proportional to 501,082.34, 691,521.92 and 297,253.94

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Solution

The fourth proportional to 501,082.34, 691,521.92 and 297,253.94 is: 410,227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,082.34 : 691,521.92 = 297,253.94 : x
  2. Step 2: Convert to fraction form
    501,082.34/691,521.92 = 297,253.94/x
  3. Step 3: Cross multiply
    501,082.34x = 691,521.92 × 297,253.94
  4. Step 4: Simplify right side
    501,082.34x = 205,557,610,372.49
  5. Step 5: Solve for x
    x = 205,557,610,372.49/501,082.34
  6. Step 6: Final answer
    x = 410,227.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.