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Finding the Fourth Proportional to 262,854.80, 394,476.60 and 174,078.80

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Solution

The fourth proportional to 262,854.80, 394,476.60 and 174,078.80 is: 261,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,854.80 : 394,476.60 = 174,078.80 : x
  2. Step 2: Convert to fraction form
    262,854.80/394,476.60 = 174,078.80/x
  3. Step 3: Cross multiply
    262,854.80x = 394,476.60 × 174,078.80
  4. Step 4: Simplify right side
    262,854.80x = 68,670,013,156.08
  5. Step 5: Solve for x
    x = 68,670,013,156.08/262,854.80
  6. Step 6: Final answer
    x = 261,246.94

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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.