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Finding the Fourth Proportional to 325,442.82, 488,292.70 and 100,820.76

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Solution

The fourth proportional to 325,442.82, 488,292.70 and 100,820.76 is: 151,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,442.82 : 488,292.70 = 100,820.76 : x
  2. Step 2: Convert to fraction form
    325,442.82/488,292.70 = 100,820.76/x
  3. Step 3: Cross multiply
    325,442.82x = 488,292.70 × 100,820.76
  4. Step 4: Simplify right side
    325,442.82x = 49,230,041,116.45
  5. Step 5: Solve for x
    x = 49,230,041,116.45/325,442.82
  6. Step 6: Final answer
    x = 151,270.94

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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.