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Finding the Fourth Proportional to 597,178.38, 824,106.16 and 328,906.38

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Solution

The fourth proportional to 597,178.38, 824,106.16 and 328,906.38 is: 453,890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,178.38 : 824,106.16 = 328,906.38 : x
  2. Step 2: Convert to fraction form
    597,178.38/824,106.16 = 328,906.38/x
  3. Step 3: Cross multiply
    597,178.38x = 824,106.16 × 328,906.38
  4. Step 4: Simplify right side
    597,178.38x = 271,053,773,821.30
  5. Step 5: Solve for x
    x = 271,053,773,821.30/597,178.38
  6. Step 6: Final answer
    x = 453,890.80

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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.