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Finding the Fourth Proportional to 447,133.20, 670,699.80 and 269,548.80

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Solution

The fourth proportional to 447,133.20, 670,699.80 and 269,548.80 is: 404,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,133.20 : 670,699.80 = 269,548.80 : x
  2. Step 2: Convert to fraction form
    447,133.20/670,699.80 = 269,548.80/x
  3. Step 3: Cross multiply
    447,133.20x = 670,699.80 × 269,548.80
  4. Step 4: Simplify right side
    447,133.20x = 180,786,326,250.24
  5. Step 5: Solve for x
    x = 180,786,326,250.24/447,133.20
  6. Step 6: Final answer
    x = 404,323.20

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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.