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Finding the Fourth Proportional to 411,804.12, 617,630.06 and 127,441.64

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Solution

The fourth proportional to 411,804.12, 617,630.06 and 127,441.64 is: 191,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,804.12 : 617,630.06 = 127,441.64 : x
  2. Step 2: Convert to fraction form
    411,804.12/617,630.06 = 127,441.64/x
  3. Step 3: Cross multiply
    411,804.12x = 617,630.06 × 127,441.64
  4. Step 4: Simplify right side
    411,804.12x = 78,711,787,759.70
  5. Step 5: Solve for x
    x = 78,711,787,759.70/411,804.12
  6. Step 6: Final answer
    x = 191,138.90

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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.