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Finding the Fourth Proportional to 442,825.76, 664,337.06 and 127,258.06

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Solution

The fourth proportional to 442,825.76, 664,337.06 and 127,258.06 is: 190,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,825.76 : 664,337.06 = 127,258.06 : x
  2. Step 2: Convert to fraction form
    442,825.76/664,337.06 = 127,258.06/x
  3. Step 3: Cross multiply
    442,825.76x = 664,337.06 × 127,258.06
  4. Step 4: Simplify right side
    442,825.76x = 84,542,245,441.70
  5. Step 5: Solve for x
    x = 84,542,245,441.70/442,825.76
  6. Step 6: Final answer
    x = 190,915.37

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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.