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Finding the Fourth Proportional to 356,908.78, 492,577.86 and 206,005.78

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Solution

The fourth proportional to 356,908.78, 492,577.86 and 206,005.78 is: 284,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,908.78 : 492,577.86 = 206,005.78 : x
  2. Step 2: Convert to fraction form
    356,908.78/492,577.86 = 206,005.78/x
  3. Step 3: Cross multiply
    356,908.78x = 492,577.86 × 206,005.78
  4. Step 4: Simplify right side
    356,908.78x = 101,473,886,489.49
  5. Step 5: Solve for x
    x = 101,473,886,489.49/356,908.78
  6. Step 6: Final answer
    x = 284,313.22

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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.