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Finding the Fourth Proportional to 274,829.60, 412,004.40 and 106,464.80

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Solution

The fourth proportional to 274,829.60, 412,004.40 and 106,464.80 is: 159,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,829.60 : 412,004.40 = 106,464.80 : x
  2. Step 2: Convert to fraction form
    274,829.60/412,004.40 = 106,464.80/x
  3. Step 3: Cross multiply
    274,829.60x = 412,004.40 × 106,464.80
  4. Step 4: Simplify right side
    274,829.60x = 43,863,966,045.12
  5. Step 5: Solve for x
    x = 43,863,966,045.12/274,829.60
  6. Step 6: Final answer
    x = 159,604.23

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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.