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Finding the Fourth Proportional to 597,910.50, 825,116.49 and 329,638.50

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Solution

The fourth proportional to 597,910.50, 825,116.49 and 329,638.50 is: 454,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,910.50 : 825,116.49 = 329,638.50 : x
  2. Step 2: Convert to fraction form
    597,910.50/825,116.49 = 329,638.50/x
  3. Step 3: Cross multiply
    597,910.50x = 825,116.49 × 329,638.50
  4. Step 4: Simplify right side
    597,910.50x = 271,990,162,088.87
  5. Step 5: Solve for x
    x = 271,990,162,088.87/597,910.50
  6. Step 6: Final answer
    x = 454,901.13

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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.