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Finding the Fourth Proportional to 319,559.64, 441,152.09 and 198,739.86

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Solution

The fourth proportional to 319,559.64, 441,152.09 and 198,739.86 is: 274,360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,559.64 : 441,152.09 = 198,739.86 : x
  2. Step 2: Convert to fraction form
    319,559.64/441,152.09 = 198,739.86/x
  3. Step 3: Cross multiply
    319,559.64x = 441,152.09 × 198,739.86
  4. Step 4: Simplify right side
    319,559.64x = 87,674,503,611.61
  5. Step 5: Solve for x
    x = 87,674,503,611.61/319,559.64
  6. Step 6: Final answer
    x = 274,360.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.