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Finding the Fourth Proportional to 297,745.81, 410,907.59 and 170,418.49

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Solution

The fourth proportional to 297,745.81, 410,907.59 and 170,418.49 is: 235,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,745.81 : 410,907.59 = 170,418.49 : x
  2. Step 2: Convert to fraction form
    297,745.81/410,907.59 = 170,418.49/x
  3. Step 3: Cross multiply
    297,745.81x = 410,907.59 × 170,418.49
  4. Step 4: Simplify right side
    297,745.81x = 70,026,251,017.34
  5. Step 5: Solve for x
    x = 70,026,251,017.34/297,745.81
  6. Step 6: Final answer
    x = 235,188.03

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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.