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Finding the Fourth Proportional to 298,375.02, 411,745.41 and 170,962.02

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Solution

The fourth proportional to 298,375.02, 411,745.41 and 170,962.02 is: 235,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,375.02 : 411,745.41 = 170,962.02 : x
  2. Step 2: Convert to fraction form
    298,375.02/411,745.41 = 170,962.02/x
  3. Step 3: Cross multiply
    298,375.02x = 411,745.41 × 170,962.02
  4. Step 4: Simplify right side
    298,375.02x = 70,392,827,019.33
  5. Step 5: Solve for x
    x = 70,392,827,019.33/298,375.02
  6. Step 6: Final answer
    x = 235,920.64

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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.