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Finding the Fourth Proportional to 356,950.63, 492,591.87 and 206,047.63

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Solution

The fourth proportional to 356,950.63, 492,591.87 and 206,047.63 is: 284,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,950.63 : 492,591.87 = 206,047.63 : x
  2. Step 2: Convert to fraction form
    356,950.63/492,591.87 = 206,047.63/x
  3. Step 3: Cross multiply
    356,950.63x = 492,591.87 × 206,047.63
  4. Step 4: Simplify right side
    356,950.63x = 101,497,383,877.57
  5. Step 5: Solve for x
    x = 101,497,383,877.57/356,950.63
  6. Step 6: Final answer
    x = 284,345.72

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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.