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Finding the Fourth Proportional to 296,864.88, 445,409.40 and 178,619.26

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Solution

The fourth proportional to 296,864.88, 445,409.40 and 178,619.26 is: 267,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,864.88 : 445,409.40 = 178,619.26 : x
  2. Step 2: Convert to fraction form
    296,864.88/445,409.40 = 178,619.26/x
  3. Step 3: Cross multiply
    296,864.88x = 445,409.40 × 178,619.26
  4. Step 4: Simplify right side
    296,864.88x = 79,558,695,198.00
  5. Step 5: Solve for x
    x = 79,558,695,198.00/296,864.88
  6. Step 6: Final answer
    x = 267,996.32

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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.