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Finding the Fourth Proportional to 461,690.12, 692,846.22 and 181,174.28

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Solution

The fourth proportional to 461,690.12, 692,846.22 and 181,174.28 is: 271,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,690.12 : 692,846.22 = 181,174.28 : x
  2. Step 2: Convert to fraction form
    461,690.12/692,846.22 = 181,174.28/x
  3. Step 3: Cross multiply
    461,690.12x = 692,846.22 × 181,174.28
  4. Step 4: Simplify right side
    461,690.12x = 125,525,915,059.22
  5. Step 5: Solve for x
    x = 125,525,915,059.22/461,690.12
  6. Step 6: Final answer
    x = 271,883.48

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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.