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Finding the Fourth Proportional to 323,743.92, 446,779.44 and 180,529.44

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Solution

The fourth proportional to 323,743.92, 446,779.44 and 180,529.44 is: 249,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,743.92 : 446,779.44 = 180,529.44 : x
  2. Step 2: Convert to fraction form
    323,743.92/446,779.44 = 180,529.44/x
  3. Step 3: Cross multiply
    323,743.92x = 446,779.44 × 180,529.44
  4. Step 4: Simplify right side
    323,743.92x = 80,656,842,106.71
  5. Step 5: Solve for x
    x = 80,656,842,106.71/323,743.92
  6. Step 6: Final answer
    x = 249,137.78

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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.