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Finding the Fourth Proportional to 295,827.39, 408,241.76 and 159,861.42

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Solution

The fourth proportional to 295,827.39, 408,241.76 and 159,861.42 is: 220,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,827.39 : 408,241.76 = 159,861.42 : x
  2. Step 2: Convert to fraction form
    295,827.39/408,241.76 = 159,861.42/x
  3. Step 3: Cross multiply
    295,827.39x = 408,241.76 × 159,861.42
  4. Step 4: Simplify right side
    295,827.39x = 65,262,106,657.59
  5. Step 5: Solve for x
    x = 65,262,106,657.59/295,827.39
  6. Step 6: Final answer
    x = 220,608.74

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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.