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Finding the Fourth Proportional to 1,446,338, 2,169,507 and 449,066

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Solution

The fourth proportional to 1,446,338, 2,169,507 and 449,066 is: 673,599

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446,338 : 2,169,507 = 449,066 : x
  2. Step 2: Convert to fraction form
    1,446,338/2,169,507 = 449,066/x
  3. Step 3: Cross multiply
    1,446,338x = 2,169,507 × 449,066
  4. Step 4: Simplify right side
    1,446,338x = 974,251,830,462
  5. Step 5: Solve for x
    x = 974,251,830,462/1,446,338
  6. Step 6: Final answer
    x = 673,599

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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.