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Finding the Fourth Proportional to 597,478, 824,522.20 and 329,200.24

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Solution

The fourth proportional to 597,478, 824,522.20 and 329,200.24 is: 454,297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,478 : 824,522.20 = 329,200.24 : x
  2. Step 2: Convert to fraction form
    597,478/824,522.20 = 329,200.24/x
  3. Step 3: Cross multiply
    597,478x = 824,522.20 × 329,200.24
  4. Step 4: Simplify right side
    597,478x = 271,432,906,125.33
  5. Step 5: Solve for x
    x = 271,432,906,125.33/597,478
  6. Step 6: Final answer
    x = 454,297.74

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1.5x scale

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.