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Finding the Fourth Proportional to 340,974.34, 470,746.21 and 303,143.92

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Solution

The fourth proportional to 340,974.34, 470,746.21 and 303,143.92 is: 418,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,974.34 : 470,746.21 = 303,143.92 : x
  2. Step 2: Convert to fraction form
    340,974.34/470,746.21 = 303,143.92/x
  3. Step 3: Cross multiply
    340,974.34x = 470,746.21 × 303,143.92
  4. Step 4: Simplify right side
    340,974.34x = 142,703,851,424.54
  5. Step 5: Solve for x
    x = 142,703,851,424.54/340,974.34
  6. Step 6: Final answer
    x = 418,517.86

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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.