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Finding the Fourth Proportional to 298,442.36, 410,938.40 and 224,961.56

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Solution

The fourth proportional to 298,442.36, 410,938.40 and 224,961.56 is: 309,759.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,442.36 : 410,938.40 = 224,961.56 : x
  2. Step 2: Convert to fraction form
    298,442.36/410,938.40 = 224,961.56/x
  3. Step 3: Cross multiply
    298,442.36x = 410,938.40 × 224,961.56
  4. Step 4: Simplify right side
    298,442.36x = 92,445,343,527.90
  5. Step 5: Solve for x
    x = 92,445,343,527.90/298,442.36
  6. Step 6: Final answer
    x = 309,759.46

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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.