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Finding the Fourth Proportional to 271,355.24, 406,930.62 and 113,594.60

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Solution

The fourth proportional to 271,355.24, 406,930.62 and 113,594.60 is: 170,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,355.24 : 406,930.62 = 113,594.60 : x
  2. Step 2: Convert to fraction form
    271,355.24/406,930.62 = 113,594.60/x
  3. Step 3: Cross multiply
    271,355.24x = 406,930.62 × 113,594.60
  4. Step 4: Simplify right side
    271,355.24x = 46,225,121,006.65
  5. Step 5: Solve for x
    x = 46,225,121,006.65/271,355.24
  6. Step 6: Final answer
    x = 170,349.10

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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.