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Finding the Fourth Proportional to 296,573.83, 409,255.36 and 167,538.78

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Solution

The fourth proportional to 296,573.83, 409,255.36 and 167,538.78 is: 231,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,573.83 : 409,255.36 = 167,538.78 : x
  2. Step 2: Convert to fraction form
    296,573.83/409,255.36 = 167,538.78/x
  3. Step 3: Cross multiply
    296,573.83x = 409,255.36 × 167,538.78
  4. Step 4: Simplify right side
    296,573.83x = 68,566,143,775.22
  5. Step 5: Solve for x
    x = 68,566,143,775.22/296,573.83
  6. Step 6: Final answer
    x = 231,194.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.