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Finding the Fourth Proportional to 323,230.05, 446,053.17 and 178,033.02

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Solution

The fourth proportional to 323,230.05, 446,053.17 and 178,033.02 is: 245,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,230.05 : 446,053.17 = 178,033.02 : x
  2. Step 2: Convert to fraction form
    323,230.05/446,053.17 = 178,033.02/x
  3. Step 3: Cross multiply
    323,230.05x = 446,053.17 × 178,033.02
  4. Step 4: Simplify right side
    323,230.05x = 79,412,192,935.67
  5. Step 5: Solve for x
    x = 79,412,192,935.67/323,230.05
  6. Step 6: Final answer
    x = 245,683.20

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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.