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Finding the Fourth Proportional to 1,643,954, 2,465,931 and 462,002

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Solution

The fourth proportional to 1,643,954, 2,465,931 and 462,002 is: 693,003

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643,954 : 2,465,931 = 462,002 : x
  2. Step 2: Convert to fraction form
    1,643,954/2,465,931 = 462,002/x
  3. Step 3: Cross multiply
    1,643,954x = 2,465,931 × 462,002
  4. Step 4: Simplify right side
    1,643,954x = 1,139,265,053,862
  5. Step 5: Solve for x
    x = 1,139,265,053,862/1,643,954
  6. Step 6: Final answer
    x = 693,003

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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.