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Finding the Fourth Proportional to 298,034.64, 447,008.22 and 98,361.54

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Solution

The fourth proportional to 298,034.64, 447,008.22 and 98,361.54 is: 147,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,034.64 : 447,008.22 = 98,361.54 : x
  2. Step 2: Convert to fraction form
    298,034.64/447,008.22 = 98,361.54/x
  3. Step 3: Cross multiply
    298,034.64x = 447,008.22 × 98,361.54
  4. Step 4: Simplify right side
    298,034.64x = 43,968,416,911.86
  5. Step 5: Solve for x
    x = 43,968,416,911.86/298,034.64
  6. Step 6: Final answer
    x = 147,527.87

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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.