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Finding the Fourth Proportional to 486,048, 670,772.16 and 284,908.80

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Solution

The fourth proportional to 486,048, 670,772.16 and 284,908.80 is: 393,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,048 : 670,772.16 = 284,908.80 : x
  2. Step 2: Convert to fraction form
    486,048/670,772.16 = 284,908.80/x
  3. Step 3: Cross multiply
    486,048x = 670,772.16 × 284,908.80
  4. Step 4: Simplify right side
    486,048x = 191,108,891,179.01
  5. Step 5: Solve for x
    x = 191,108,891,179.01/486,048
  6. Step 6: Final answer
    x = 393,189.34

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