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Finding the Fourth Proportional to 270,667.20, 405,655.20 and 208,027.20

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Solution

The fourth proportional to 270,667.20, 405,655.20 and 208,027.20 is: 311,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,667.20 : 405,655.20 = 208,027.20 : x
  2. Step 2: Convert to fraction form
    270,667.20/405,655.20 = 208,027.20/x
  3. Step 3: Cross multiply
    270,667.20x = 405,655.20 × 208,027.20
  4. Step 4: Simplify right side
    270,667.20x = 84,387,315,421.44
  5. Step 5: Solve for x
    x = 84,387,315,421.44/270,667.20
  6. Step 6: Final answer
    x = 311,775.18

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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.