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Finding the Fourth Proportional to 294,647.60, 441,971.40 and 107,634.80

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Solution

The fourth proportional to 294,647.60, 441,971.40 and 107,634.80 is: 161,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,647.60 : 441,971.40 = 107,634.80 : x
  2. Step 2: Convert to fraction form
    294,647.60/441,971.40 = 107,634.80/x
  3. Step 3: Cross multiply
    294,647.60x = 441,971.40 × 107,634.80
  4. Step 4: Simplify right side
    294,647.60x = 47,571,503,244.72
  5. Step 5: Solve for x
    x = 47,571,503,244.72/294,647.60
  6. Step 6: Final answer
    x = 161,452.20

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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.