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Finding the Fourth Proportional to 323,602.90, 446,572.49 and 180,359.87

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Solution

The fourth proportional to 323,602.90, 446,572.49 and 180,359.87 is: 248,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,602.90 : 446,572.49 = 180,359.87 : x
  2. Step 2: Convert to fraction form
    323,602.90/446,572.49 = 180,359.87/x
  3. Step 3: Cross multiply
    323,602.90x = 446,572.49 × 180,359.87
  4. Step 4: Simplify right side
    323,602.90x = 80,543,754,121.84
  5. Step 5: Solve for x
    x = 80,543,754,121.84/323,602.90
  6. Step 6: Final answer
    x = 248,896.89

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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.