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Finding the Fourth Proportional to 323,889.60, 446,968.42 and 180,658.92

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Solution

The fourth proportional to 323,889.60, 446,968.42 and 180,658.92 is: 249,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,889.60 : 446,968.42 = 180,658.92 : x
  2. Step 2: Convert to fraction form
    323,889.60/446,968.42 = 180,658.92/x
  3. Step 3: Cross multiply
    323,889.60x = 446,968.42 × 180,658.92
  4. Step 4: Simplify right side
    323,889.60x = 80,748,832,031.31
  5. Step 5: Solve for x
    x = 80,748,832,031.31/323,889.60
  6. Step 6: Final answer
    x = 249,309.74

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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.