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Finding the Fourth Proportional to 301,907.22, 416,623.21 and 172,841.38

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Solution

The fourth proportional to 301,907.22, 416,623.21 and 172,841.38 is: 238,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,907.22 : 416,623.21 = 172,841.38 : x
  2. Step 2: Convert to fraction form
    301,907.22/416,623.21 = 172,841.38/x
  3. Step 3: Cross multiply
    301,907.22x = 416,623.21 × 172,841.38
  4. Step 4: Simplify right side
    301,907.22x = 72,009,730,556.43
  5. Step 5: Solve for x
    x = 72,009,730,556.43/301,907.22
  6. Step 6: Final answer
    x = 238,516.09

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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.