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Finding the Fourth Proportional to 301,804.84, 416,205.19 and 198,256.22

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Solution

The fourth proportional to 301,804.84, 416,205.19 and 198,256.22 is: 273,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,804.84 : 416,205.19 = 198,256.22 : x
  2. Step 2: Convert to fraction form
    301,804.84/416,205.19 = 198,256.22/x
  3. Step 3: Cross multiply
    301,804.84x = 416,205.19 × 198,256.22
  4. Step 4: Simplify right side
    301,804.84x = 82,515,265,137.12
  5. Step 5: Solve for x
    x = 82,515,265,137.12/301,804.84
  6. Step 6: Final answer
    x = 273,406.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.