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Finding the Fourth Proportional to 597,647.83, 824,729.92 and 325,709.95

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Solution

The fourth proportional to 597,647.83, 824,729.92 and 325,709.95 is: 449,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,647.83 : 824,729.92 = 325,709.95 : x
  2. Step 2: Convert to fraction form
    597,647.83/824,729.92 = 325,709.95/x
  3. Step 3: Cross multiply
    597,647.83x = 824,729.92 × 325,709.95
  4. Step 4: Simplify right side
    597,647.83x = 268,622,741,006.70
  5. Step 5: Solve for x
    x = 268,622,741,006.70/597,647.83
  6. Step 6: Final answer
    x = 449,466.60

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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.