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Finding the Fourth Proportional to 194,466, 291,699 and 46,722

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Solution

The fourth proportional to 194,466, 291,699 and 46,722 is: 70,083

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,466 : 291,699 = 46,722 : x
  2. Step 2: Convert to fraction form
    194,466/291,699 = 46,722/x
  3. Step 3: Cross multiply
    194,466x = 291,699 × 46,722
  4. Step 4: Simplify right side
    194,466x = 13,628,760,678
  5. Step 5: Solve for x
    x = 13,628,760,678/194,466
  6. Step 6: Final answer
    x = 70,083

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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.