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Finding the Fourth Proportional to 271,326, 407,023.56 and 74,334

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Solution

The fourth proportional to 271,326, 407,023.56 and 74,334 is: 111,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,326 : 407,023.56 = 74,334 : x
  2. Step 2: Convert to fraction form
    271,326/407,023.56 = 74,334/x
  3. Step 3: Cross multiply
    271,326x = 407,023.56 × 74,334
  4. Step 4: Simplify right side
    271,326x = 30,255,689,309.04
  5. Step 5: Solve for x
    x = 30,255,689,309.04/271,326
  6. Step 6: Final answer
    x = 111,510.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.