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Finding the Fourth Proportional to 279,850.40, 419,775.60 and 153,879.20

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Solution

The fourth proportional to 279,850.40, 419,775.60 and 153,879.20 is: 230,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,850.40 : 419,775.60 = 153,879.20 : x
  2. Step 2: Convert to fraction form
    279,850.40/419,775.60 = 153,879.20/x
  3. Step 3: Cross multiply
    279,850.40x = 419,775.60 × 153,879.20
  4. Step 4: Simplify right side
    279,850.40x = 64,594,733,507.52
  5. Step 5: Solve for x
    x = 64,594,733,507.52/279,850.40
  6. Step 6: Final answer
    x = 230,818.80

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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.