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Finding the Fourth Proportional to 471,872.80, 707,809.20 and 322,573.60

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Solution

The fourth proportional to 471,872.80, 707,809.20 and 322,573.60 is: 483,860.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,872.80 : 707,809.20 = 322,573.60 : x
  2. Step 2: Convert to fraction form
    471,872.80/707,809.20 = 322,573.60/x
  3. Step 3: Cross multiply
    471,872.80x = 707,809.20 × 322,573.60
  4. Step 4: Simplify right side
    471,872.80x = 228,320,561,757.12
  5. Step 5: Solve for x
    x = 228,320,561,757.12/471,872.80
  6. Step 6: Final answer
    x = 483,860.40

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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.