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Finding the Fourth Proportional to 597,107.92, 824,005.32 and 328,834

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Solution

The fourth proportional to 597,107.92, 824,005.32 and 328,834 is: 453,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,107.92 : 824,005.32 = 328,834 : x
  2. Step 2: Convert to fraction form
    597,107.92/824,005.32 = 328,834/x
  3. Step 3: Cross multiply
    597,107.92x = 824,005.32 × 328,834
  4. Step 4: Simplify right side
    597,107.92x = 270,960,965,396.88
  5. Step 5: Solve for x
    x = 270,960,965,396.88/597,107.92
  6. Step 6: Final answer
    x = 453,788.93

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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.