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Finding the Fourth Proportional to 537,884.37, 806,914.12 and 158,843.44

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Solution

The fourth proportional to 537,884.37, 806,914.12 and 158,843.44 is: 238,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,884.37 : 806,914.12 = 158,843.44 : x
  2. Step 2: Convert to fraction form
    537,884.37/806,914.12 = 158,843.44/x
  3. Step 3: Cross multiply
    537,884.37x = 806,914.12 × 158,843.44
  4. Step 4: Simplify right side
    537,884.37x = 128,173,012,903.54
  5. Step 5: Solve for x
    x = 128,173,012,903.54/537,884.37
  6. Step 6: Final answer
    x = 238,291.02

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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.