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Finding the Fourth Proportional to 5,377,809.20, 8,069,824.20 and 2,012,356.40

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Solution

The fourth proportional to 5,377,809.20, 8,069,824.20 and 2,012,356.40 is: 3,019,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377,809.20 : 8,069,824.20 = 2,012,356.40 : x
  2. Step 2: Convert to fraction form
    5,377,809.20/8,069,824.20 = 2,012,356.40/x
  3. Step 3: Cross multiply
    5,377,809.20x = 8,069,824.20 × 2,012,356.40
  4. Step 4: Simplify right side
    5,377,809.20x = 16,239,362,375,744.88
  5. Step 5: Solve for x
    x = 16,239,362,375,744.88/5,377,809.20
  6. Step 6: Final answer
    x = 3,019,698.50

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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.