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Finding the Fourth Proportional to 368,086.98, 507,952.70 and 204,739.95

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Solution

The fourth proportional to 368,086.98, 507,952.70 and 204,739.95 is: 282,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,086.98 : 507,952.70 = 204,739.95 : x
  2. Step 2: Convert to fraction form
    368,086.98/507,952.70 = 204,739.95/x
  3. Step 3: Cross multiply
    368,086.98x = 507,952.70 × 204,739.95
  4. Step 4: Simplify right side
    368,086.98x = 103,998,211,473.43
  5. Step 5: Solve for x
    x = 103,998,211,473.43/368,086.98
  6. Step 6: Final answer
    x = 282,537.05

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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.