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Finding the Fourth Proportional to 597,179, 824,107.02 and 328,907

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Solution

The fourth proportional to 597,179, 824,107.02 and 328,907 is: 453,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,179 : 824,107.02 = 328,907 : x
  2. Step 2: Convert to fraction form
    597,179/824,107.02 = 328,907/x
  3. Step 3: Cross multiply
    597,179x = 824,107.02 × 328,907
  4. Step 4: Simplify right side
    597,179x = 271,054,567,627.14
  5. Step 5: Solve for x
    x = 271,054,567,627.14/597,179
  6. Step 6: Final answer
    x = 453,891.66

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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.