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Finding the Fourth Proportional to 333,425.31, 460,097.73 and 188,223.09

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Solution

The fourth proportional to 333,425.31, 460,097.73 and 188,223.09 is: 259,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,425.31 : 460,097.73 = 188,223.09 : x
  2. Step 2: Convert to fraction form
    333,425.31/460,097.73 = 188,223.09/x
  3. Step 3: Cross multiply
    333,425.31x = 460,097.73 × 188,223.09
  4. Step 4: Simplify right side
    333,425.31x = 86,601,016,442.59
  5. Step 5: Solve for x
    x = 86,601,016,442.59/333,425.31
  6. Step 6: Final answer
    x = 259,731.38

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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.