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Finding the Fourth Proportional to 323,291.05, 446,141.65 and 180,051.09

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Solution

The fourth proportional to 323,291.05, 446,141.65 and 180,051.09 is: 248,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,291.05 : 446,141.65 = 180,051.09 : x
  2. Step 2: Convert to fraction form
    323,291.05/446,141.65 = 180,051.09/x
  3. Step 3: Cross multiply
    323,291.05x = 446,141.65 × 180,051.09
  4. Step 4: Simplify right side
    323,291.05x = 80,328,289,476.64
  5. Step 5: Solve for x
    x = 80,328,289,476.64/323,291.05
  6. Step 6: Final answer
    x = 248,470.51

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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.