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Finding the Fourth Proportional to 313,844.02, 472,473.77 and 285,943.30

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Solution

The fourth proportional to 313,844.02, 472,473.77 and 285,943.30 is: 430,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,844.02 : 472,473.77 = 285,943.30 : x
  2. Step 2: Convert to fraction form
    313,844.02/472,473.77 = 285,943.30/x
  3. Step 3: Cross multiply
    313,844.02x = 472,473.77 × 285,943.30
  4. Step 4: Simplify right side
    313,844.02x = 135,100,708,957.24
  5. Step 5: Solve for x
    x = 135,100,708,957.24/313,844.02
  6. Step 6: Final answer
    x = 430,470.87

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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.