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Finding the Fourth Proportional to 461,093.26, 636,091.53 and 299,889.49

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Solution

The fourth proportional to 461,093.26, 636,091.53 and 299,889.49 is: 413,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,093.26 : 636,091.53 = 299,889.49 : x
  2. Step 2: Convert to fraction form
    461,093.26/636,091.53 = 299,889.49/x
  3. Step 3: Cross multiply
    461,093.26x = 636,091.53 × 299,889.49
  4. Step 4: Simplify right side
    461,093.26x = 190,757,164,525.02
  5. Step 5: Solve for x
    x = 190,757,164,525.02/461,093.26
  6. Step 6: Final answer
    x = 413,706.25

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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.