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Finding the Fourth Proportional to 323,804.57, 446,850.72 and 178,607.09

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Solution

The fourth proportional to 323,804.57, 446,850.72 and 178,607.09 is: 246,478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,804.57 : 446,850.72 = 178,607.09 : x
  2. Step 2: Convert to fraction form
    323,804.57/446,850.72 = 178,607.09/x
  3. Step 3: Cross multiply
    323,804.57x = 446,850.72 × 178,607.09
  4. Step 4: Simplify right side
    323,804.57x = 79,810,704,529.35
  5. Step 5: Solve for x
    x = 79,810,704,529.35/323,804.57
  6. Step 6: Final answer
    x = 246,478.01

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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.