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Finding the Fourth Proportional to 376,569.76, 519,674.52 and 206,804.56

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Solution

The fourth proportional to 376,569.76, 519,674.52 and 206,804.56 is: 285,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,569.76 : 519,674.52 = 206,804.56 : x
  2. Step 2: Convert to fraction form
    376,569.76/519,674.52 = 206,804.56/x
  3. Step 3: Cross multiply
    376,569.76x = 519,674.52 × 206,804.56
  4. Step 4: Simplify right side
    376,569.76x = 107,471,060,451.81
  5. Step 5: Solve for x
    x = 107,471,060,451.81/376,569.76
  6. Step 6: Final answer
    x = 285,394.82

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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.