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Finding the Fourth Proportional to 271,314.06, 374,414.40 and 150,466.51

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Solution

The fourth proportional to 271,314.06, 374,414.40 and 150,466.51 is: 207,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,314.06 : 374,414.40 = 150,466.51 : x
  2. Step 2: Convert to fraction form
    271,314.06/374,414.40 = 150,466.51/x
  3. Step 3: Cross multiply
    271,314.06x = 374,414.40 × 150,466.51
  4. Step 4: Simplify right side
    271,314.06x = 56,336,828,529.76
  5. Step 5: Solve for x
    x = 56,336,828,529.76/271,314.06
  6. Step 6: Final answer
    x = 207,644.34

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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.