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Finding the Fourth Proportional to 1,643,956, 2,465,934 and 462,004

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Solution

The fourth proportional to 1,643,956, 2,465,934 and 462,004 is: 693,006

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643,956 : 2,465,934 = 462,004 : x
  2. Step 2: Convert to fraction form
    1,643,956/2,465,934 = 462,004/x
  3. Step 3: Cross multiply
    1,643,956x = 2,465,934 × 462,004
  4. Step 4: Simplify right side
    1,643,956x = 1,139,271,371,736
  5. Step 5: Solve for x
    x = 1,139,271,371,736/1,643,956
  6. Step 6: Final answer
    x = 693,006

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.