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Finding the Fourth Proportional to 323,290.98, 446,155.38 and 180,051

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Solution

The fourth proportional to 323,290.98, 446,155.38 and 180,051 is: 248,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,290.98 : 446,155.38 = 180,051 : x
  2. Step 2: Convert to fraction form
    323,290.98/446,155.38 = 180,051/x
  3. Step 3: Cross multiply
    323,290.98x = 446,155.38 × 180,051
  4. Step 4: Simplify right side
    323,290.98x = 80,330,722,324.38
  5. Step 5: Solve for x
    x = 80,330,722,324.38/323,290.98
  6. Step 6: Final answer
    x = 248,478.08

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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.