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Finding the Fourth Proportional to 4,978,647.40, 7,465,206.30 and 1,983,447.40

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Solution

The fourth proportional to 4,978,647.40, 7,465,206.30 and 1,983,447.40 is: 2,974,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978,647.40 : 7,465,206.30 = 1,983,447.40 : x
  2. Step 2: Convert to fraction form
    4,978,647.40/7,465,206.30 = 1,983,447.40/x
  3. Step 3: Cross multiply
    4,978,647.40x = 7,465,206.30 × 1,983,447.40
  4. Step 4: Simplify right side
    4,978,647.40x = 14,806,844,026,198.62
  5. Step 5: Solve for x
    x = 14,806,844,026,198.62/4,978,647.40
  6. Step 6: Final answer
    x = 2,974,069.63

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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.