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Finding the Fourth Proportional to 321,913.25, 483,343.87 and 180,036.49

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Solution

The fourth proportional to 321,913.25, 483,343.87 and 180,036.49 is: 270,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,913.25 : 483,343.87 = 180,036.49 : x
  2. Step 2: Convert to fraction form
    321,913.25/483,343.87 = 180,036.49/x
  3. Step 3: Cross multiply
    321,913.25x = 483,343.87 × 180,036.49
  4. Step 4: Simplify right side
    321,913.25x = 87,019,533,817.82
  5. Step 5: Solve for x
    x = 87,019,533,817.82/321,913.25
  6. Step 6: Final answer
    x = 270,319.83

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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.