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Finding the Fourth Proportional to 533,751.42, 800,501.34 and 196,608.98

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Solution

The fourth proportional to 533,751.42, 800,501.34 and 196,608.98 is: 294,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,751.42 : 800,501.34 = 196,608.98 : x
  2. Step 2: Convert to fraction form
    533,751.42/800,501.34 = 196,608.98/x
  3. Step 3: Cross multiply
    533,751.42x = 800,501.34 × 196,608.98
  4. Step 4: Simplify right side
    533,751.42x = 157,385,751,946.03
  5. Step 5: Solve for x
    x = 157,385,751,946.03/533,751.42
  6. Step 6: Final answer
    x = 294,867.13

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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.