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Finding the Fourth Proportional to 949,716, 1,424,574 and 284,868

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Solution

The fourth proportional to 949,716, 1,424,574 and 284,868 is: 427,302

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,716 : 1,424,574 = 284,868 : x
  2. Step 2: Convert to fraction form
    949,716/1,424,574 = 284,868/x
  3. Step 3: Cross multiply
    949,716x = 1,424,574 × 284,868
  4. Step 4: Simplify right side
    949,716x = 405,815,546,232
  5. Step 5: Solve for x
    x = 405,815,546,232/949,716
  6. Step 6: Final answer
    x = 427,302

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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.