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Finding the Fourth Proportional to 411,530.48, 617,296.74 and 222,080

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Solution

The fourth proportional to 411,530.48, 617,296.74 and 222,080 is: 333,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,530.48 : 617,296.74 = 222,080 : x
  2. Step 2: Convert to fraction form
    411,530.48/617,296.74 = 222,080/x
  3. Step 3: Cross multiply
    411,530.48x = 617,296.74 × 222,080
  4. Step 4: Simplify right side
    411,530.48x = 137,089,260,019.20
  5. Step 5: Solve for x
    x = 137,089,260,019.20/411,530.48
  6. Step 6: Final answer
    x = 333,120.55

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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.