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Finding the Fourth Proportional to 273,978.40, 410,967.60 and 96,685.60

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Solution

The fourth proportional to 273,978.40, 410,967.60 and 96,685.60 is: 145,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,978.40 : 410,967.60 = 96,685.60 : x
  2. Step 2: Convert to fraction form
    273,978.40/410,967.60 = 96,685.60/x
  3. Step 3: Cross multiply
    273,978.40x = 410,967.60 × 96,685.60
  4. Step 4: Simplify right side
    273,978.40x = 39,734,648,986.56
  5. Step 5: Solve for x
    x = 39,734,648,986.56/273,978.40
  6. Step 6: Final answer
    x = 145,028.40

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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.