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Finding the Fourth Proportional to 334,438.71, 461,494.97 and 198,449.25

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Solution

The fourth proportional to 334,438.71, 461,494.97 and 198,449.25 is: 273,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,438.71 : 461,494.97 = 198,449.25 : x
  2. Step 2: Convert to fraction form
    334,438.71/461,494.97 = 198,449.25/x
  3. Step 3: Cross multiply
    334,438.71x = 461,494.97 × 198,449.25
  4. Step 4: Simplify right side
    334,438.71x = 91,583,329,683.03
  5. Step 5: Solve for x
    x = 91,583,329,683.03/334,438.71
  6. Step 6: Final answer
    x = 273,841.89

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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.