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Finding the Fourth Proportional to 552,198.30, 828,297.45 and 197,223.90

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Solution

The fourth proportional to 552,198.30, 828,297.45 and 197,223.90 is: 295,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,198.30 : 828,297.45 = 197,223.90 : x
  2. Step 2: Convert to fraction form
    552,198.30/828,297.45 = 197,223.90/x
  3. Step 3: Cross multiply
    552,198.30x = 828,297.45 × 197,223.90
  4. Step 4: Simplify right side
    552,198.30x = 163,360,053,449.06
  5. Step 5: Solve for x
    x = 163,360,053,449.06/552,198.30
  6. Step 6: Final answer
    x = 295,835.85

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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.