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Finding the Fourth Proportional to 271,496.70, 407,403.81 and 113,711.94

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Solution

The fourth proportional to 271,496.70, 407,403.81 and 113,711.94 is: 170,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,496.70 : 407,403.81 = 113,711.94 : x
  2. Step 2: Convert to fraction form
    271,496.70/407,403.81 = 113,711.94/x
  3. Step 3: Cross multiply
    271,496.70x = 407,403.81 × 113,711.94
  4. Step 4: Simplify right side
    271,496.70x = 46,326,677,598.49
  5. Step 5: Solve for x
    x = 46,326,677,598.49/271,496.70
  6. Step 6: Final answer
    x = 170,634.40

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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.