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Finding the Fourth Proportional to 284,867.42, 427,169.39 and 104,907.41

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Solution

The fourth proportional to 284,867.42, 427,169.39 and 104,907.41 is: 157,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,867.42 : 427,169.39 = 104,907.41 : x
  2. Step 2: Convert to fraction form
    284,867.42/427,169.39 = 104,907.41/x
  3. Step 3: Cross multiply
    284,867.42x = 427,169.39 × 104,907.41
  4. Step 4: Simplify right side
    284,867.42x = 44,813,231,675.80
  5. Step 5: Solve for x
    x = 44,813,231,675.80/284,867.42
  6. Step 6: Final answer
    x = 157,312.59

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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.