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Finding the Fourth Proportional to 411,488.83, 617,170.88 and 111,992.75

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Solution

The fourth proportional to 411,488.83, 617,170.88 and 111,992.75 is: 167,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,488.83 : 617,170.88 = 111,992.75 : x
  2. Step 2: Convert to fraction form
    411,488.83/617,170.88 = 111,992.75/x
  3. Step 3: Cross multiply
    411,488.83x = 617,170.88 × 111,992.75
  4. Step 4: Simplify right side
    411,488.83x = 69,118,664,071.12
  5. Step 5: Solve for x
    x = 69,118,664,071.12/411,488.83
  6. Step 6: Final answer
    x = 167,972.15

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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.