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Finding the Fourth Proportional to 351,342, 527,012.01 and 271,496.16

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Solution

The fourth proportional to 351,342, 527,012.01 and 271,496.16 is: 407,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,342 : 527,012.01 = 271,496.16 : x
  2. Step 2: Convert to fraction form
    351,342/527,012.01 = 271,496.16/x
  3. Step 3: Cross multiply
    351,342x = 527,012.01 × 271,496.16
  4. Step 4: Simplify right side
    351,342x = 143,081,736,988.88
  5. Step 5: Solve for x
    x = 143,081,736,988.88/351,342
  6. Step 6: Final answer
    x = 407,243.47

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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.