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Finding the Fourth Proportional to 378,431.26, 521,692.50 and 297,718.63

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Solution

The fourth proportional to 378,431.26, 521,692.50 and 297,718.63 is: 410,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,431.26 : 521,692.50 = 297,718.63 : x
  2. Step 2: Convert to fraction form
    378,431.26/521,692.50 = 297,718.63/x
  3. Step 3: Cross multiply
    378,431.26x = 521,692.50 × 297,718.63
  4. Step 4: Simplify right side
    378,431.26x = 155,317,576,381.28
  5. Step 5: Solve for x
    x = 155,317,576,381.28/378,431.26
  6. Step 6: Final answer
    x = 410,424.81

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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.