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Finding the Fourth Proportional to 299,153.90, 448,975.65 and 296,821.10

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Solution

The fourth proportional to 299,153.90, 448,975.65 and 296,821.10 is: 445,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,153.90 : 448,975.65 = 296,821.10 : x
  2. Step 2: Convert to fraction form
    299,153.90/448,975.65 = 296,821.10/x
  3. Step 3: Cross multiply
    299,153.90x = 448,975.65 × 296,821.10
  4. Step 4: Simplify right side
    299,153.90x = 133,265,446,306.22
  5. Step 5: Solve for x
    x = 133,265,446,306.22/299,153.90
  6. Step 6: Final answer
    x = 445,474.54

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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.