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Finding the Fourth Proportional to 299,804.22, 413,745.84 and 172,499.22

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Solution

The fourth proportional to 299,804.22, 413,745.84 and 172,499.22 is: 238,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,804.22 : 413,745.84 = 172,499.22 : x
  2. Step 2: Convert to fraction form
    299,804.22/413,745.84 = 172,499.22/x
  3. Step 3: Cross multiply
    299,804.22x = 413,745.84 × 172,499.22
  4. Step 4: Simplify right side
    299,804.22x = 71,370,834,678.24
  5. Step 5: Solve for x
    x = 71,370,834,678.24/299,804.22
  6. Step 6: Final answer
    x = 238,058.14

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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.