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Finding the Fourth Proportional to 285,138.84, 427,535.28 and 196,294.80

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Solution

The fourth proportional to 285,138.84, 427,535.28 and 196,294.80 is: 294,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,138.84 : 427,535.28 = 196,294.80 : x
  2. Step 2: Convert to fraction form
    285,138.84/427,535.28 = 196,294.80/x
  3. Step 3: Cross multiply
    285,138.84x = 427,535.28 × 196,294.80
  4. Step 4: Simplify right side
    285,138.84x = 83,922,952,280.54
  5. Step 5: Solve for x
    x = 83,922,952,280.54/285,138.84
  6. Step 6: Final answer
    x = 294,323.12

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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.