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Finding the Fourth Proportional to 1,644,000, 2,466,000 and 462,048

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Solution

The fourth proportional to 1,644,000, 2,466,000 and 462,048 is: 693,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,000 : 2,466,000 = 462,048 : x
  2. Step 2: Convert to fraction form
    1,644,000/2,466,000 = 462,048/x
  3. Step 3: Cross multiply
    1,644,000x = 2,466,000 × 462,048
  4. Step 4: Simplify right side
    1,644,000x = 1,139,410,368,000
  5. Step 5: Solve for x
    x = 1,139,410,368,000/1,644,000
  6. Step 6: Final answer
    x = 693,072

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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.