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Finding the Fourth Proportional to 597,647.60, 824,729.58 and 325,709.63

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Solution

The fourth proportional to 597,647.60, 824,729.58 and 325,709.63 is: 449,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,647.60 : 824,729.58 = 325,709.63 : x
  2. Step 2: Convert to fraction form
    597,647.60/824,729.58 = 325,709.63/x
  3. Step 3: Cross multiply
    597,647.60x = 824,729.58 × 325,709.63
  4. Step 4: Simplify right side
    597,647.60x = 268,622,366,351.86
  5. Step 5: Solve for x
    x = 268,622,366,351.86/597,647.60
  6. Step 6: Final answer
    x = 449,466.15

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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.