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Finding the Fourth Proportional to 349,454.94, 482,131.81 and 284,813.03

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Solution

The fourth proportional to 349,454.94, 482,131.81 and 284,813.03 is: 392,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,454.94 : 482,131.81 = 284,813.03 : x
  2. Step 2: Convert to fraction form
    349,454.94/482,131.81 = 284,813.03/x
  3. Step 3: Cross multiply
    349,454.94x = 482,131.81 × 284,813.03
  4. Step 4: Simplify right side
    349,454.94x = 137,317,421,665.48
  5. Step 5: Solve for x
    x = 137,317,421,665.48/349,454.94
  6. Step 6: Final answer
    x = 392,947.43

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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.