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Finding the Fourth Proportional to 595,016, 821,099.64 and 323,078.02

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Solution

The fourth proportional to 595,016, 821,099.64 and 323,078.02 is: 445,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,016 : 821,099.64 = 323,078.02 : x
  2. Step 2: Convert to fraction form
    595,016/821,099.64 = 323,078.02/x
  3. Step 3: Cross multiply
    595,016x = 821,099.64 × 323,078.02
  4. Step 4: Simplify right side
    595,016x = 265,279,245,913.91
  5. Step 5: Solve for x
    x = 265,279,245,913.91/595,016
  6. Step 6: Final answer
    x = 445,835.48

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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.