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Finding the Fourth Proportional to 334,662.98, 461,832.32 and 181,698.17

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Solution

The fourth proportional to 334,662.98, 461,832.32 and 181,698.17 is: 250,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,662.98 : 461,832.32 = 181,698.17 : x
  2. Step 2: Convert to fraction form
    334,662.98/461,832.32 = 181,698.17/x
  3. Step 3: Cross multiply
    334,662.98x = 461,832.32 × 181,698.17
  4. Step 4: Simplify right side
    334,662.98x = 83,914,084,173.20
  5. Step 5: Solve for x
    x = 83,914,084,173.20/334,662.98
  6. Step 6: Final answer
    x = 250,742.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.