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Finding the Fourth Proportional to 313,839.02, 472,466.22 and 285,938.30

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Solution

The fourth proportional to 313,839.02, 472,466.22 and 285,938.30 is: 430,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,839.02 : 472,466.22 = 285,938.30 : x
  2. Step 2: Convert to fraction form
    313,839.02/472,466.22 = 285,938.30/x
  3. Step 3: Cross multiply
    313,839.02x = 472,466.22 × 285,938.30
  4. Step 4: Simplify right side
    313,839.02x = 135,096,187,754.23
  5. Step 5: Solve for x
    x = 135,096,187,754.23/313,839.02
  6. Step 6: Final answer
    x = 430,463.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.