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Finding the Fourth Proportional to 1,382,884, 2,074,326 and 448,996

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Solution

The fourth proportional to 1,382,884, 2,074,326 and 448,996 is: 673,494

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,884 : 2,074,326 = 448,996 : x
  2. Step 2: Convert to fraction form
    1,382,884/2,074,326 = 448,996/x
  3. Step 3: Cross multiply
    1,382,884x = 2,074,326 × 448,996
  4. Step 4: Simplify right side
    1,382,884x = 931,364,076,696
  5. Step 5: Solve for x
    x = 931,364,076,696/1,382,884
  6. Step 6: Final answer
    x = 673,494

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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.