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Finding the Fourth Proportional to 309,367.44, 463,975.52 and 98,961.84

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Solution

The fourth proportional to 309,367.44, 463,975.52 and 98,961.84 is: 148,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,367.44 : 463,975.52 = 98,961.84 : x
  2. Step 2: Convert to fraction form
    309,367.44/463,975.52 = 98,961.84/x
  3. Step 3: Cross multiply
    309,367.44x = 463,975.52 × 98,961.84
  4. Step 4: Simplify right side
    309,367.44x = 45,915,871,174.16
  5. Step 5: Solve for x
    x = 45,915,871,174.16/309,367.44
  6. Step 6: Final answer
    x = 148,418.56

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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.