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Finding the Fourth Proportional to 397,836.58, 549,028.38 and 216,563.44

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Solution

The fourth proportional to 397,836.58, 549,028.38 and 216,563.44 is: 298,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,836.58 : 549,028.38 = 216,563.44 : x
  2. Step 2: Convert to fraction form
    397,836.58/549,028.38 = 216,563.44/x
  3. Step 3: Cross multiply
    397,836.58x = 549,028.38 × 216,563.44
  4. Step 4: Simplify right side
    397,836.58x = 118,899,474,630.43
  5. Step 5: Solve for x
    x = 118,899,474,630.43/397,836.58
  6. Step 6: Final answer
    x = 298,865.11

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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.