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Finding the Fourth Proportional to 323,429.29, 446,332.88 and 180,194.36

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Solution

The fourth proportional to 323,429.29, 446,332.88 and 180,194.36 is: 248,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,429.29 : 446,332.88 = 180,194.36 : x
  2. Step 2: Convert to fraction form
    323,429.29/446,332.88 = 180,194.36/x
  3. Step 3: Cross multiply
    323,429.29x = 446,332.88 × 180,194.36
  4. Step 4: Simplify right side
    323,429.29x = 80,426,665,877.38
  5. Step 5: Solve for x
    x = 80,426,665,877.38/323,429.29
  6. Step 6: Final answer
    x = 248,668.47

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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.