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Finding the Fourth Proportional to 323,815.36, 482,467.34 and 305,707

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Solution

The fourth proportional to 323,815.36, 482,467.34 and 305,707 is: 455,486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,815.36 : 482,467.34 = 305,707 : x
  2. Step 2: Convert to fraction form
    323,815.36/482,467.34 = 305,707/x
  3. Step 3: Cross multiply
    323,815.36x = 482,467.34 × 305,707
  4. Step 4: Simplify right side
    323,815.36x = 147,493,643,109.38
  5. Step 5: Solve for x
    x = 147,493,643,109.38/323,815.36
  6. Step 6: Final answer
    x = 455,486.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.