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Finding the Fourth Proportional to 334,634.35, 461,776.54 and 194,975.38

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Solution

The fourth proportional to 334,634.35, 461,776.54 and 194,975.38 is: 269,055.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,634.35 : 461,776.54 = 194,975.38 : x
  2. Step 2: Convert to fraction form
    334,634.35/461,776.54 = 194,975.38/x
  3. Step 3: Cross multiply
    334,634.35x = 461,776.54 × 194,975.38
  4. Step 4: Simplify right side
    334,634.35x = 90,035,056,361.59
  5. Step 5: Solve for x
    x = 90,035,056,361.59/334,634.35
  6. Step 6: Final answer
    x = 269,055.03

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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.