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Finding the Fourth Proportional to 323,329.86, 446,183.64 and 180,082.17

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Solution

The fourth proportional to 323,329.86, 446,183.64 and 180,082.17 is: 248,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,329.86 : 446,183.64 = 180,082.17 : x
  2. Step 2: Convert to fraction form
    323,329.86/446,183.64 = 180,082.17/x
  3. Step 3: Cross multiply
    323,329.86x = 446,183.64 × 180,082.17
  4. Step 4: Simplify right side
    323,329.86x = 80,349,718,109.70
  5. Step 5: Solve for x
    x = 80,349,718,109.70/323,329.86
  6. Step 6: Final answer
    x = 248,506.95

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1.5x scale

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.