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Finding the Fourth Proportional to 313,821.02, 472,439.06 and 285,920.30

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Solution

The fourth proportional to 313,821.02, 472,439.06 and 285,920.30 is: 430,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,821.02 : 472,439.06 = 285,920.30 : x
  2. Step 2: Convert to fraction form
    313,821.02/472,439.06 = 285,920.30/x
  3. Step 3: Cross multiply
    313,821.02x = 472,439.06 × 285,920.30
  4. Step 4: Simplify right side
    313,821.02x = 135,079,917,766.92
  5. Step 5: Solve for x
    x = 135,079,917,766.92/313,821.02
  6. Step 6: Final answer
    x = 430,436.17

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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.