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Finding the Fourth Proportional to 1,644,006, 2,466,009 and 462,054

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Solution

The fourth proportional to 1,644,006, 2,466,009 and 462,054 is: 693,081

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,006 : 2,466,009 = 462,054 : x
  2. Step 2: Convert to fraction form
    1,644,006/2,466,009 = 462,054/x
  3. Step 3: Cross multiply
    1,644,006x = 2,466,009 × 462,054
  4. Step 4: Simplify right side
    1,644,006x = 1,139,429,322,486
  5. Step 5: Solve for x
    x = 1,139,429,322,486/1,644,006
  6. Step 6: Final answer
    x = 693,081

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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.