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Finding the Fourth Proportional to 983,404.80, 1,474,912.80 and 477,964.80

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Solution

The fourth proportional to 983,404.80, 1,474,912.80 and 477,964.80 is: 716,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,404.80 : 1,474,912.80 = 477,964.80 : x
  2. Step 2: Convert to fraction form
    983,404.80/1,474,912.80 = 477,964.80/x
  3. Step 3: Cross multiply
    983,404.80x = 1,474,912.80 × 477,964.80
  4. Step 4: Simplify right side
    983,404.80x = 704,956,401,469.44
  5. Step 5: Solve for x
    x = 704,956,401,469.44/983,404.80
  6. Step 6: Final answer
    x = 716,852.72

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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.