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Finding the Fourth Proportional to 366,005.99, 505,083.31 and 204,861.00

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Solution

The fourth proportional to 366,005.99, 505,083.31 and 204,861.00 is: 282,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,005.99 : 505,083.31 = 204,861.00 : x
  2. Step 2: Convert to fraction form
    366,005.99/505,083.31 = 204,861.00/x
  3. Step 3: Cross multiply
    366,005.99x = 505,083.31 × 204,861.00
  4. Step 4: Simplify right side
    366,005.99x = 103,471,871,663.07
  5. Step 5: Solve for x
    x = 103,471,871,663.07/366,005.99
  6. Step 6: Final answer
    x = 282,705.40

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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.