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Finding the Fourth Proportional to 597,612, 824,704.58 and 329,340

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Solution

The fourth proportional to 597,612, 824,704.58 and 329,340 is: 454,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,612 : 824,704.58 = 329,340 : x
  2. Step 2: Convert to fraction form
    597,612/824,704.58 = 329,340/x
  3. Step 3: Cross multiply
    597,612x = 824,704.58 × 329,340
  4. Step 4: Simplify right side
    597,612x = 271,608,205,965.53
  5. Step 5: Solve for x
    x = 271,608,205,965.53/597,612
  6. Step 6: Final answer
    x = 454,489.21

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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.