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Finding the Fourth Proportional to 323,889.09, 446,967.72 and 180,658.41

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Solution

The fourth proportional to 323,889.09, 446,967.72 and 180,658.41 is: 249,309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,889.09 : 446,967.72 = 180,658.41 : x
  2. Step 2: Convert to fraction form
    323,889.09/446,967.72 = 180,658.41/x
  3. Step 3: Cross multiply
    323,889.09x = 446,967.72 × 180,658.41
  4. Step 4: Simplify right side
    323,889.09x = 80,748,477,616.53
  5. Step 5: Solve for x
    x = 80,748,477,616.53/323,889.09
  6. Step 6: Final answer
    x = 249,309.04

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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.