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Finding the Fourth Proportional to 299,316.10, 448,974.15 and 277,664.80

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Solution

The fourth proportional to 299,316.10, 448,974.15 and 277,664.80 is: 416,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,316.10 : 448,974.15 = 277,664.80 : x
  2. Step 2: Convert to fraction form
    299,316.10/448,974.15 = 277,664.80/x
  3. Step 3: Cross multiply
    299,316.10x = 448,974.15 × 277,664.80
  4. Step 4: Simplify right side
    299,316.10x = 124,664,317,564.92
  5. Step 5: Solve for x
    x = 124,664,317,564.92/299,316.10
  6. Step 6: Final answer
    x = 416,497.20

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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.