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Finding the Fourth Proportional to 462,834.40, 694,251.60 and 163,312.60

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Solution

The fourth proportional to 462,834.40, 694,251.60 and 163,312.60 is: 244,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,834.40 : 694,251.60 = 163,312.60 : x
  2. Step 2: Convert to fraction form
    462,834.40/694,251.60 = 163,312.60/x
  3. Step 3: Cross multiply
    462,834.40x = 694,251.60 × 163,312.60
  4. Step 4: Simplify right side
    462,834.40x = 113,380,033,850.16
  5. Step 5: Solve for x
    x = 113,380,033,850.16/462,834.40
  6. Step 6: Final answer
    x = 244,968.90

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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.