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Finding the Fourth Proportional to 356,794.98, 492,300 and 205,804.50

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Solution

The fourth proportional to 356,794.98, 492,300 and 205,804.50 is: 283,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,794.98 : 492,300 = 205,804.50 : x
  2. Step 2: Convert to fraction form
    356,794.98/492,300 = 205,804.50/x
  3. Step 3: Cross multiply
    356,794.98x = 492,300 × 205,804.50
  4. Step 4: Simplify right side
    356,794.98x = 101,317,555,350
  5. Step 5: Solve for x
    x = 101,317,555,350/356,794.98
  6. Step 6: Final answer
    x = 283,965.75

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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.