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Finding the Fourth Proportional to 323,898.84, 446,981.19 and 180,668.16

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Solution

The fourth proportional to 323,898.84, 446,981.19 and 180,668.16 is: 249,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,898.84 : 446,981.19 = 180,668.16 : x
  2. Step 2: Convert to fraction form
    323,898.84/446,981.19 = 180,668.16/x
  3. Step 3: Cross multiply
    323,898.84x = 446,981.19 × 180,668.16
  4. Step 4: Simplify right side
    323,898.84x = 80,755,269,151.91
  5. Step 5: Solve for x
    x = 80,755,269,151.91/323,898.84
  6. Step 6: Final answer
    x = 249,322.50

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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.