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Finding the Fourth Proportional to 533,409.82, 800,194.30 and 196,424.58

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Solution

The fourth proportional to 533,409.82, 800,194.30 and 196,424.58 is: 294,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,409.82 : 800,194.30 = 196,424.58 : x
  2. Step 2: Convert to fraction form
    533,409.82/800,194.30 = 196,424.58/x
  3. Step 3: Cross multiply
    533,409.82x = 800,194.30 × 196,424.58
  4. Step 4: Simplify right side
    533,409.82x = 157,177,829,295.89
  5. Step 5: Solve for x
    x = 157,177,829,295.89/533,409.82
  6. Step 6: Final answer
    x = 294,666.17

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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.