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Finding the Fourth Proportional to 366,009.84, 505,116 and 204,874.92

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Solution

The fourth proportional to 366,009.84, 505,116 and 204,874.92 is: 282,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,009.84 : 505,116 = 204,874.92 : x
  2. Step 2: Convert to fraction form
    366,009.84/505,116 = 204,874.92/x
  3. Step 3: Cross multiply
    366,009.84x = 505,116 × 204,874.92
  4. Step 4: Simplify right side
    366,009.84x = 103,485,600,090.72
  5. Step 5: Solve for x
    x = 103,485,600,090.72/366,009.84
  6. Step 6: Final answer
    x = 282,739.94

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1.5x scale

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.