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Finding the Fourth Proportional to 327,153.47, 490,808.77 and 113,889.98

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Solution

The fourth proportional to 327,153.47, 490,808.77 and 113,889.98 is: 170,862.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,153.47 : 490,808.77 = 113,889.98 : x
  2. Step 2: Convert to fraction form
    327,153.47/490,808.77 = 113,889.98/x
  3. Step 3: Cross multiply
    327,153.47x = 490,808.77 × 113,889.98
  4. Step 4: Simplify right side
    327,153.47x = 55,898,201,941.42
  5. Step 5: Solve for x
    x = 55,898,201,941.42/327,153.47
  6. Step 6: Final answer
    x = 170,862.33

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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.