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Finding the Fourth Proportional to 3,221,474, 4,832,240.16 and 977,612

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Solution

The fourth proportional to 3,221,474, 4,832,240.16 and 977,612 is: 1,466,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221,474 : 4,832,240.16 = 977,612 : x
  2. Step 2: Convert to fraction form
    3,221,474/4,832,240.16 = 977,612/x
  3. Step 3: Cross multiply
    3,221,474x = 4,832,240.16 × 977,612
  4. Step 4: Simplify right side
    3,221,474x = 4,724,055,967,297.92
  5. Step 5: Solve for x
    x = 4,724,055,967,297.92/3,221,474
  6. Step 6: Final answer
    x = 1,466,426.85

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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.