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Finding the Fourth Proportional to 293,757.78, 439,953.18 and 285,676.56

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Solution

The fourth proportional to 293,757.78, 439,953.18 and 285,676.56 is: 427,850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,757.78 : 439,953.18 = 285,676.56 : x
  2. Step 2: Convert to fraction form
    293,757.78/439,953.18 = 285,676.56/x
  3. Step 3: Cross multiply
    293,757.78x = 439,953.18 × 285,676.56
  4. Step 4: Simplify right side
    293,757.78x = 125,684,311,023.46
  5. Step 5: Solve for x
    x = 125,684,311,023.46/293,757.78
  6. Step 6: Final answer
    x = 427,850.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.