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Finding the Fourth Proportional to 366,004.12, 505,080.70 and 204,859.12

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Solution

The fourth proportional to 366,004.12, 505,080.70 and 204,859.12 is: 282,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,004.12 : 505,080.70 = 204,859.12 : x
  2. Step 2: Convert to fraction form
    366,004.12/505,080.70 = 204,859.12/x
  3. Step 3: Cross multiply
    366,004.12x = 505,080.70 × 204,859.12
  4. Step 4: Simplify right side
    366,004.12x = 103,470,387,730.98
  5. Step 5: Solve for x
    x = 103,470,387,730.98/366,004.12
  6. Step 6: Final answer
    x = 282,702.80

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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.