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Finding the Fourth Proportional to 597,101.71, 823,963.02 and 328,829.71

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Solution

The fourth proportional to 597,101.71, 823,963.02 and 328,829.71 is: 453,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,101.71 : 823,963.02 = 328,829.71 : x
  2. Step 2: Convert to fraction form
    597,101.71/823,963.02 = 328,829.71/x
  3. Step 3: Cross multiply
    597,101.71x = 823,963.02 × 328,829.71
  4. Step 4: Simplify right side
    597,101.71x = 270,943,520,917.32
  5. Step 5: Solve for x
    x = 270,943,520,917.32/597,101.71
  6. Step 6: Final answer
    x = 453,764.44

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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.