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Finding the Fourth Proportional to 271,468.68, 407,410.76 and 195,530.64

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Solution

The fourth proportional to 271,468.68, 407,410.76 and 195,530.64 is: 293,445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,468.68 : 407,410.76 = 195,530.64 : x
  2. Step 2: Convert to fraction form
    271,468.68/407,410.76 = 195,530.64/x
  3. Step 3: Cross multiply
    271,468.68x = 407,410.76 × 195,530.64
  4. Step 4: Simplify right side
    271,468.68x = 79,661,286,645.69
  5. Step 5: Solve for x
    x = 79,661,286,645.69/271,468.68
  6. Step 6: Final answer
    x = 293,445.59

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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.