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Finding the Fourth Proportional to 270,368.43, 405,903.24 and 180,983.01

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Solution

The fourth proportional to 270,368.43, 405,903.24 and 180,983.01 is: 271,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,368.43 : 405,903.24 = 180,983.01 : x
  2. Step 2: Convert to fraction form
    270,368.43/405,903.24 = 180,983.01/x
  3. Step 3: Cross multiply
    270,368.43x = 405,903.24 × 180,983.01
  4. Step 4: Simplify right side
    270,368.43x = 73,461,590,143.95
  5. Step 5: Solve for x
    x = 73,461,590,143.95/270,368.43
  6. Step 6: Final answer
    x = 271,709.20

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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.