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Finding the Fourth Proportional to 351,707.41, 527,007.88 and 271,940.23

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Solution

The fourth proportional to 351,707.41, 527,007.88 and 271,940.23 is: 407,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,707.41 : 527,007.88 = 271,940.23 : x
  2. Step 2: Convert to fraction form
    351,707.41/527,007.88 = 271,940.23/x
  3. Step 3: Cross multiply
    351,707.41x = 527,007.88 × 271,940.23
  4. Step 4: Simplify right side
    351,707.41x = 143,314,644,099.01
  5. Step 5: Solve for x
    x = 143,314,644,099.01/351,707.41
  6. Step 6: Final answer
    x = 407,482.58

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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.