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Finding the Fourth Proportional to 471,874.80, 707,812.20 and 322,575.60

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Solution

The fourth proportional to 471,874.80, 707,812.20 and 322,575.60 is: 483,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,874.80 : 707,812.20 = 322,575.60 : x
  2. Step 2: Convert to fraction form
    471,874.80/707,812.20 = 322,575.60/x
  3. Step 3: Cross multiply
    471,874.80x = 707,812.20 × 322,575.60
  4. Step 4: Simplify right side
    471,874.80x = 228,322,945,102.32
  5. Step 5: Solve for x
    x = 228,322,945,102.32/471,874.80
  6. Step 6: Final answer
    x = 483,863.40

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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.