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Finding the Fourth Proportional to 442,810.40, 664,107.60 and 127,234.40

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Solution

The fourth proportional to 442,810.40, 664,107.60 and 127,234.40 is: 190,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,810.40 : 664,107.60 = 127,234.40 : x
  2. Step 2: Convert to fraction form
    442,810.40/664,107.60 = 127,234.40/x
  3. Step 3: Cross multiply
    442,810.40x = 664,107.60 × 127,234.40
  4. Step 4: Simplify right side
    442,810.40x = 84,497,332,021.44
  5. Step 5: Solve for x
    x = 84,497,332,021.44/442,810.40
  6. Step 6: Final answer
    x = 190,820.57

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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.