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Finding the Fourth Proportional to 376,051.32, 518,950.92 and 206,285.45

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Solution

The fourth proportional to 376,051.32, 518,950.92 and 206,285.45 is: 284,673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,051.32 : 518,950.92 = 206,285.45 : x
  2. Step 2: Convert to fraction form
    376,051.32/518,950.92 = 206,285.45/x
  3. Step 3: Cross multiply
    376,051.32x = 518,950.92 × 206,285.45
  4. Step 4: Simplify right side
    376,051.32x = 107,052,024,060.11
  5. Step 5: Solve for x
    x = 107,052,024,060.11/376,051.32
  6. Step 6: Final answer
    x = 284,673.97

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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.