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Finding the Fourth Proportional to 492,738.40, 739,107.60 and 488,072.80

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Solution

The fourth proportional to 492,738.40, 739,107.60 and 488,072.80 is: 732,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,738.40 : 739,107.60 = 488,072.80 : x
  2. Step 2: Convert to fraction form
    492,738.40/739,107.60 = 488,072.80/x
  3. Step 3: Cross multiply
    492,738.40x = 739,107.60 × 488,072.80
  4. Step 4: Simplify right side
    492,738.40x = 360,738,315,833.28
  5. Step 5: Solve for x
    x = 360,738,315,833.28/492,738.40
  6. Step 6: Final answer
    x = 732,109.20

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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.