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Finding the Fourth Proportional to 428,907.40, 643,245.90 and 179,537.80

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Solution

The fourth proportional to 428,907.40, 643,245.90 and 179,537.80 is: 269,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,907.40 : 643,245.90 = 179,537.80 : x
  2. Step 2: Convert to fraction form
    428,907.40/643,245.90 = 179,537.80/x
  3. Step 3: Cross multiply
    428,907.40x = 643,245.90 × 179,537.80
  4. Step 4: Simplify right side
    428,907.40x = 115,486,953,745.02
  5. Step 5: Solve for x
    x = 115,486,953,745.02/428,907.40
  6. Step 6: Final answer
    x = 269,258.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.