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Finding the Fourth Proportional to 270,216, 405,325.44 and 73,224

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Solution

The fourth proportional to 270,216, 405,325.44 and 73,224 is: 109,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,216 : 405,325.44 = 73,224 : x
  2. Step 2: Convert to fraction form
    270,216/405,325.44 = 73,224/x
  3. Step 3: Cross multiply
    270,216x = 405,325.44 × 73,224
  4. Step 4: Simplify right side
    270,216x = 29,679,550,018.56
  5. Step 5: Solve for x
    x = 29,679,550,018.56/270,216
  6. Step 6: Final answer
    x = 109,836.39

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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.