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Finding the Fourth Proportional to 296,489.64, 444,176.43 and 146,554.41

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Solution

The fourth proportional to 296,489.64, 444,176.43 and 146,554.41 is: 219,555.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,489.64 : 444,176.43 = 146,554.41 : x
  2. Step 2: Convert to fraction form
    296,489.64/444,176.43 = 146,554.41/x
  3. Step 3: Cross multiply
    296,489.64x = 444,176.43 × 146,554.41
  4. Step 4: Simplify right side
    296,489.64x = 65,096,014,634.56
  5. Step 5: Solve for x
    x = 65,096,014,634.56/296,489.64
  6. Step 6: Final answer
    x = 219,555.78

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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.