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Finding the Fourth Proportional to 294,098.36, 405,531.54 and 203,296.69

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Solution

The fourth proportional to 294,098.36, 405,531.54 and 203,296.69 is: 280,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,098.36 : 405,531.54 = 203,296.69 : x
  2. Step 2: Convert to fraction form
    294,098.36/405,531.54 = 203,296.69/x
  3. Step 3: Cross multiply
    294,098.36x = 405,531.54 × 203,296.69
  4. Step 4: Simplify right side
    294,098.36x = 82,443,219,772.60
  5. Step 5: Solve for x
    x = 82,443,219,772.60/294,098.36
  6. Step 6: Final answer
    x = 280,325.33

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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.