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Finding the Fourth Proportional to 596,706, 823,454.31 and 328,434

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Solution

The fourth proportional to 596,706, 823,454.31 and 328,434 is: 453,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,706 : 823,454.31 = 328,434 : x
  2. Step 2: Convert to fraction form
    596,706/823,454.31 = 328,434/x
  3. Step 3: Cross multiply
    596,706x = 823,454.31 × 328,434
  4. Step 4: Simplify right side
    596,706x = 270,450,392,850.54
  5. Step 5: Solve for x
    x = 270,450,392,850.54/596,706
  6. Step 6: Final answer
    x = 453,238.94

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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.