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Finding the Fourth Proportional to 323,764.80, 446,772.24 and 180,532.32

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Solution

The fourth proportional to 323,764.80, 446,772.24 and 180,532.32 is: 249,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,764.80 : 446,772.24 = 180,532.32 : x
  2. Step 2: Convert to fraction form
    323,764.80/446,772.24 = 180,532.32/x
  3. Step 3: Cross multiply
    323,764.80x = 446,772.24 × 180,532.32
  4. Step 4: Simplify right side
    323,764.80x = 80,656,828,998.80
  5. Step 5: Solve for x
    x = 80,656,828,998.80/323,764.80
  6. Step 6: Final answer
    x = 249,121.67

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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.