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Finding the Fourth Proportional to 509,026.38, 702,464.84 and 279,604.88

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Solution

The fourth proportional to 509,026.38, 702,464.84 and 279,604.88 is: 385,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,026.38 : 702,464.84 = 279,604.88 : x
  2. Step 2: Convert to fraction form
    509,026.38/702,464.84 = 279,604.88/x
  3. Step 3: Cross multiply
    509,026.38x = 702,464.84 × 279,604.88
  4. Step 4: Simplify right side
    509,026.38x = 196,412,597,292.42
  5. Step 5: Solve for x
    x = 196,412,597,292.42/509,026.38
  6. Step 6: Final answer
    x = 385,859.37

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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.