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Finding the Fourth Proportional to 597,202, 824,138.77 and 328,930

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Solution

The fourth proportional to 597,202, 824,138.77 and 328,930 is: 453,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,202 : 824,138.77 = 328,930 : x
  2. Step 2: Convert to fraction form
    597,202/824,138.77 = 328,930/x
  3. Step 3: Cross multiply
    597,202x = 824,138.77 × 328,930
  4. Step 4: Simplify right side
    597,202x = 271,083,965,616.10
  5. Step 5: Solve for x
    x = 271,083,965,616.10/597,202
  6. Step 6: Final answer
    x = 453,923.41

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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.