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Finding the Fourth Proportional to 270,370.43, 405,906.24 and 180,985.01

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Solution

The fourth proportional to 270,370.43, 405,906.24 and 180,985.01 is: 271,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,370.43 : 405,906.24 = 180,985.01 : x
  2. Step 2: Convert to fraction form
    270,370.43/405,906.24 = 180,985.01/x
  3. Step 3: Cross multiply
    270,370.43x = 405,906.24 × 180,985.01
  4. Step 4: Simplify right side
    270,370.43x = 73,462,944,905.46
  5. Step 5: Solve for x
    x = 73,462,944,905.46/270,370.43
  6. Step 6: Final answer
    x = 271,712.20

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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.