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Finding the Fourth Proportional to 298,878.41, 448,096.17 and 180,522.08

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Solution

The fourth proportional to 298,878.41, 448,096.17 and 180,522.08 is: 270,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,878.41 : 448,096.17 = 180,522.08 : x
  2. Step 2: Convert to fraction form
    298,878.41/448,096.17 = 180,522.08/x
  3. Step 3: Cross multiply
    298,878.41x = 448,096.17 × 180,522.08
  4. Step 4: Simplify right side
    298,878.41x = 80,891,252,648.43
  5. Step 5: Solve for x
    x = 80,891,252,648.43/298,878.41
  6. Step 6: Final answer
    x = 270,649.37

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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.