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Finding the Fourth Proportional to 323,268.65, 446,078.80 and 180,042.02

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Solution

The fourth proportional to 323,268.65, 446,078.80 and 180,042.02 is: 248,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,268.65 : 446,078.80 = 180,042.02 : x
  2. Step 2: Convert to fraction form
    323,268.65/446,078.80 = 180,042.02/x
  3. Step 3: Cross multiply
    323,268.65x = 446,078.80 × 180,042.02
  4. Step 4: Simplify right side
    323,268.65x = 80,312,928,231.18
  5. Step 5: Solve for x
    x = 80,312,928,231.18/323,268.65
  6. Step 6: Final answer
    x = 248,440.20

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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.