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Finding the Fourth Proportional to 284,796, 426,914.55 and 158,496.75

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Solution

The fourth proportional to 284,796, 426,914.55 and 158,496.75 is: 237,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,796 : 426,914.55 = 158,496.75 : x
  2. Step 2: Convert to fraction form
    284,796/426,914.55 = 158,496.75/x
  3. Step 3: Cross multiply
    284,796x = 426,914.55 × 158,496.75
  4. Step 4: Simplify right side
    284,796x = 67,664,568,702.71
  5. Step 5: Solve for x
    x = 67,664,568,702.71/284,796
  6. Step 6: Final answer
    x = 237,589.60

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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.