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Finding the Fourth Proportional to 321,427.36, 482,173.04 and 119,077.60

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Solution

The fourth proportional to 321,427.36, 482,173.04 and 119,077.60 is: 178,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,427.36 : 482,173.04 = 119,077.60 : x
  2. Step 2: Convert to fraction form
    321,427.36/482,173.04 = 119,077.60/x
  3. Step 3: Cross multiply
    321,427.36x = 482,173.04 × 119,077.60
  4. Step 4: Simplify right side
    321,427.36x = 57,416,008,387.90
  5. Step 5: Solve for x
    x = 57,416,008,387.90/321,427.36
  6. Step 6: Final answer
    x = 178,628.25

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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.