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Finding the Fourth Proportional to 596,566, 823,262.70 and 328,294

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Solution

The fourth proportional to 596,566, 823,262.70 and 328,294 is: 453,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,566 : 823,262.70 = 328,294 : x
  2. Step 2: Convert to fraction form
    596,566/823,262.70 = 328,294/x
  3. Step 3: Cross multiply
    596,566x = 823,262.70 × 328,294
  4. Step 4: Simplify right side
    596,566x = 270,272,204,833.80
  5. Step 5: Solve for x
    x = 270,272,204,833.80/596,566
  6. Step 6: Final answer
    x = 453,046.61

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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.