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Finding the Fourth Proportional to 471,156.43, 704,951.25 and 279,133.98

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Solution

The fourth proportional to 471,156.43, 704,951.25 and 279,133.98 is: 417,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,156.43 : 704,951.25 = 279,133.98 : x
  2. Step 2: Convert to fraction form
    471,156.43/704,951.25 = 279,133.98/x
  3. Step 3: Cross multiply
    471,156.43x = 704,951.25 × 279,133.98
  4. Step 4: Simplify right side
    471,156.43x = 196,775,844,593.72
  5. Step 5: Solve for x
    x = 196,775,844,593.72/471,156.43
  6. Step 6: Final answer
    x = 417,644.40

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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.