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Finding the Fourth Proportional to 411,693.21, 617,023.08 and 222,145.92

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Solution

The fourth proportional to 411,693.21, 617,023.08 and 222,145.92 is: 332,940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,693.21 : 617,023.08 = 222,145.92 : x
  2. Step 2: Convert to fraction form
    411,693.21/617,023.08 = 222,145.92/x
  3. Step 3: Cross multiply
    411,693.21x = 617,023.08 × 222,145.92
  4. Step 4: Simplify right side
    411,693.21x = 137,069,159,767.83
  5. Step 5: Solve for x
    x = 137,069,159,767.83/411,693.21
  6. Step 6: Final answer
    x = 332,940.05

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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.