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Finding the Fourth Proportional to 235,460.50, 353,190.32 and 193,738.74

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Solution

The fourth proportional to 235,460.50, 353,190.32 and 193,738.74 is: 290,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,460.50 : 353,190.32 = 193,738.74 : x
  2. Step 2: Convert to fraction form
    235,460.50/353,190.32 = 193,738.74/x
  3. Step 3: Cross multiply
    235,460.50x = 353,190.32 × 193,738.74
  4. Step 4: Simplify right side
    235,460.50x = 68,426,647,577.00
  5. Step 5: Solve for x
    x = 68,426,647,577.00/235,460.50
  6. Step 6: Final answer
    x = 290,607.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.