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Finding the Fourth Proportional to 447,193.20, 669,040.20 and 289,729.20

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Solution

The fourth proportional to 447,193.20, 669,040.20 and 289,729.20 is: 433,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,193.20 : 669,040.20 = 289,729.20 : x
  2. Step 2: Convert to fraction form
    447,193.20/669,040.20 = 289,729.20/x
  3. Step 3: Cross multiply
    447,193.20x = 669,040.20 × 289,729.20
  4. Step 4: Simplify right side
    447,193.20x = 193,840,481,913.84
  5. Step 5: Solve for x
    x = 193,840,481,913.84/447,193.20
  6. Step 6: Final answer
    x = 433,460.26

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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.