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Finding the Fourth Proportional to 483,972.84, 667,786.80 and 293,004

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Solution

The fourth proportional to 483,972.84, 667,786.80 and 293,004 is: 404,287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,972.84 : 667,786.80 = 293,004 : x
  2. Step 2: Convert to fraction form
    483,972.84/667,786.80 = 293,004/x
  3. Step 3: Cross multiply
    483,972.84x = 667,786.80 × 293,004
  4. Step 4: Simplify right side
    483,972.84x = 195,664,203,547.20
  5. Step 5: Solve for x
    x = 195,664,203,547.20/483,972.84
  6. Step 6: Final answer
    x = 404,287.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.