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Finding the Fourth Proportional to 510,638.92, 704,668.97 and 281,194.38

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Solution

The fourth proportional to 510,638.92, 704,668.97 and 281,194.38 is: 388,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,638.92 : 704,668.97 = 281,194.38 : x
  2. Step 2: Convert to fraction form
    510,638.92/704,668.97 = 281,194.38/x
  3. Step 3: Cross multiply
    510,638.92x = 704,668.97 × 281,194.38
  4. Step 4: Simplify right side
    510,638.92x = 198,148,954,827.38
  5. Step 5: Solve for x
    x = 198,148,954,827.38/510,638.92
  6. Step 6: Final answer
    x = 388,041.23

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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.