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Finding the Fourth Proportional to 271,481.32, 375,094.98 and 214,557.16

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Solution

The fourth proportional to 271,481.32, 375,094.98 and 214,557.16 is: 296,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,481.32 : 375,094.98 = 214,557.16 : x
  2. Step 2: Convert to fraction form
    271,481.32/375,094.98 = 214,557.16/x
  3. Step 3: Cross multiply
    271,481.32x = 375,094.98 × 214,557.16
  4. Step 4: Simplify right side
    271,481.32x = 80,479,313,639.06
  5. Step 5: Solve for x
    x = 80,479,313,639.06/271,481.32
  6. Step 6: Final answer
    x = 296,445.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.