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Finding the Fourth Proportional to 353,944, 488,442.72 and 194,968

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Solution

The fourth proportional to 353,944, 488,442.72 and 194,968 is: 269,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,944 : 488,442.72 = 194,968 : x
  2. Step 2: Convert to fraction form
    353,944/488,442.72 = 194,968/x
  3. Step 3: Cross multiply
    353,944x = 488,442.72 × 194,968
  4. Step 4: Simplify right side
    353,944x = 95,230,700,232.96
  5. Step 5: Solve for x
    x = 95,230,700,232.96/353,944
  6. Step 6: Final answer
    x = 269,055.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.