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Finding the Fourth Proportional to 510,451.96, 704,411.28 and 281,007.38

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Solution

The fourth proportional to 510,451.96, 704,411.28 and 281,007.38 is: 387,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,451.96 : 704,411.28 = 281,007.38 : x
  2. Step 2: Convert to fraction form
    510,451.96/704,411.28 = 281,007.38/x
  3. Step 3: Cross multiply
    510,451.96x = 704,411.28 × 281,007.38
  4. Step 4: Simplify right side
    510,451.96x = 197,944,766,830.21
  5. Step 5: Solve for x
    x = 197,944,766,830.21/510,451.96
  6. Step 6: Final answer
    x = 387,783.34

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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.