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Finding the Fourth Proportional to 2,000,450, 3,000,675 and 599,618

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Solution

The fourth proportional to 2,000,450, 3,000,675 and 599,618 is: 899,427

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,450 : 3,000,675 = 599,618 : x
  2. Step 2: Convert to fraction form
    2,000,450/3,000,675 = 599,618/x
  3. Step 3: Cross multiply
    2,000,450x = 3,000,675 × 599,618
  4. Step 4: Simplify right side
    2,000,450x = 1,799,258,742,150
  5. Step 5: Solve for x
    x = 1,799,258,742,150/2,000,450
  6. Step 6: Final answer
    x = 899,427

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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.