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Finding the Fourth Proportional to 334,438.96, 461,495.31 and 198,449.50

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Solution

The fourth proportional to 334,438.96, 461,495.31 and 198,449.50 is: 273,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,438.96 : 461,495.31 = 198,449.50 : x
  2. Step 2: Convert to fraction form
    334,438.96/461,495.31 = 198,449.50/x
  3. Step 3: Cross multiply
    334,438.96x = 461,495.31 × 198,449.50
  4. Step 4: Simplify right side
    334,438.96x = 91,583,513,521.85
  5. Step 5: Solve for x
    x = 91,583,513,521.85/334,438.96
  6. Step 6: Final answer
    x = 273,842.24

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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.