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Finding the Fourth Proportional to 325,825.40, 488,738.10 and 185,857.40

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Solution

The fourth proportional to 325,825.40, 488,738.10 and 185,857.40 is: 278,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,825.40 : 488,738.10 = 185,857.40 : x
  2. Step 2: Convert to fraction form
    325,825.40/488,738.10 = 185,857.40/x
  3. Step 3: Cross multiply
    325,825.40x = 488,738.10 × 185,857.40
  4. Step 4: Simplify right side
    325,825.40x = 90,835,592,546.94
  5. Step 5: Solve for x
    x = 90,835,592,546.94/325,825.40
  6. Step 6: Final answer
    x = 278,786.10

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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.