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Finding the Fourth Proportional to 354,047.72, 531,147.26 and 114,175.28

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Solution

The fourth proportional to 354,047.72, 531,147.26 and 114,175.28 is: 171,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,047.72 : 531,147.26 = 114,175.28 : x
  2. Step 2: Convert to fraction form
    354,047.72/531,147.26 = 114,175.28/x
  3. Step 3: Cross multiply
    354,047.72x = 531,147.26 × 114,175.28
  4. Step 4: Simplify right side
    354,047.72x = 60,643,883,905.12
  5. Step 5: Solve for x
    x = 60,643,883,905.12/354,047.72
  6. Step 6: Final answer
    x = 171,287.32

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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.