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Finding the Fourth Proportional to 334,374.90, 461,437.32 and 191,138.01

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Solution

The fourth proportional to 334,374.90, 461,437.32 and 191,138.01 is: 263,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,374.90 : 461,437.32 = 191,138.01 : x
  2. Step 2: Convert to fraction form
    334,374.90/461,437.32 = 191,138.01/x
  3. Step 3: Cross multiply
    334,374.90x = 461,437.32 × 191,138.01
  4. Step 4: Simplify right side
    334,374.90x = 88,198,211,084.53
  5. Step 5: Solve for x
    x = 88,198,211,084.53/334,374.90
  6. Step 6: Final answer
    x = 263,770.43

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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.