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Finding the Fourth Proportional to 331,468.80, 497,203.20 and 298,291.20

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Solution

The fourth proportional to 331,468.80, 497,203.20 and 298,291.20 is: 447,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,468.80 : 497,203.20 = 298,291.20 : x
  2. Step 2: Convert to fraction form
    331,468.80/497,203.20 = 298,291.20/x
  3. Step 3: Cross multiply
    331,468.80x = 497,203.20 × 298,291.20
  4. Step 4: Simplify right side
    331,468.80x = 148,311,339,171.84
  5. Step 5: Solve for x
    x = 148,311,339,171.84/331,468.80
  6. Step 6: Final answer
    x = 447,436.80

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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.