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Finding the Fourth Proportional to 1,643,982, 2,465,973 and 462,030

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Solution

The fourth proportional to 1,643,982, 2,465,973 and 462,030 is: 693,045

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643,982 : 2,465,973 = 462,030 : x
  2. Step 2: Convert to fraction form
    1,643,982/2,465,973 = 462,030/x
  3. Step 3: Cross multiply
    1,643,982x = 2,465,973 × 462,030
  4. Step 4: Simplify right side
    1,643,982x = 1,139,353,505,190
  5. Step 5: Solve for x
    x = 1,139,353,505,190/1,643,982
  6. Step 6: Final answer
    x = 693,045

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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.