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Finding the Fourth Proportional to 786,400, 1,179,600.08 and 195,424

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Solution

The fourth proportional to 786,400, 1,179,600.08 and 195,424 is: 293,136.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,400 : 1,179,600.08 = 195,424 : x
  2. Step 2: Convert to fraction form
    786,400/1,179,600.08 = 195,424/x
  3. Step 3: Cross multiply
    786,400x = 1,179,600.08 × 195,424
  4. Step 4: Simplify right side
    786,400x = 230,522,166,033.92
  5. Step 5: Solve for x
    x = 230,522,166,033.92/786,400
  6. Step 6: Final answer
    x = 293,136.02

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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.