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Finding the Fourth Proportional to 449,971.84, 676,007.52 and 263,114.56

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Solution

The fourth proportional to 449,971.84, 676,007.52 and 263,114.56 is: 395,285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,971.84 : 676,007.52 = 263,114.56 : x
  2. Step 2: Convert to fraction form
    449,971.84/676,007.52 = 263,114.56/x
  3. Step 3: Cross multiply
    449,971.84x = 676,007.52 × 263,114.56
  4. Step 4: Simplify right side
    449,971.84x = 177,867,421,181.49
  5. Step 5: Solve for x
    x = 177,867,421,181.49/449,971.84
  6. Step 6: Final answer
    x = 395,285.67

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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.