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Finding the Fourth Proportional to 424,822.82, 586,255.65 and 233,834.84

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Solution

The fourth proportional to 424,822.82, 586,255.65 and 233,834.84 is: 322,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,822.82 : 586,255.65 = 233,834.84 : x
  2. Step 2: Convert to fraction form
    424,822.82/586,255.65 = 233,834.84/x
  3. Step 3: Cross multiply
    424,822.82x = 586,255.65 × 233,834.84
  4. Step 4: Simplify right side
    424,822.82x = 137,086,993,185.57
  5. Step 5: Solve for x
    x = 137,086,993,185.57/424,822.82
  6. Step 6: Final answer
    x = 322,692.16

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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.