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Finding the Fourth Proportional to 376,569.17, 519,665.46 and 206,803.31

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Solution

The fourth proportional to 376,569.17, 519,665.46 and 206,803.31 is: 285,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,569.17 : 519,665.46 = 206,803.31 : x
  2. Step 2: Convert to fraction form
    376,569.17/519,665.46 = 206,803.31/x
  3. Step 3: Cross multiply
    376,569.17x = 519,665.46 × 206,803.31
  4. Step 4: Simplify right side
    376,569.17x = 107,468,537,220.67
  5. Step 5: Solve for x
    x = 107,468,537,220.67/376,569.17
  6. Step 6: Final answer
    x = 285,388.57

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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.