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Finding the Fourth Proportional to 509,392.38, 702,927.24 and 279,944.68

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Solution

The fourth proportional to 509,392.38, 702,927.24 and 279,944.68 is: 386,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,392.38 : 702,927.24 = 279,944.68 : x
  2. Step 2: Convert to fraction form
    509,392.38/702,927.24 = 279,944.68/x
  3. Step 3: Cross multiply
    509,392.38x = 702,927.24 × 279,944.68
  4. Step 4: Simplify right side
    509,392.38x = 196,780,741,265.08
  5. Step 5: Solve for x
    x = 196,780,741,265.08/509,392.38
  6. Step 6: Final answer
    x = 386,304.84

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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.