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Finding the Fourth Proportional to 366,006.42, 505,090.62 and 204,864.66

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Solution

The fourth proportional to 366,006.42, 505,090.62 and 204,864.66 is: 282,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,006.42 : 505,090.62 = 204,864.66 : x
  2. Step 2: Convert to fraction form
    366,006.42/505,090.62 = 204,864.66/x
  3. Step 3: Cross multiply
    366,006.42x = 505,090.62 × 204,864.66
  4. Step 4: Simplify right side
    366,006.42x = 103,475,218,135.49
  5. Step 5: Solve for x
    x = 103,475,218,135.49/366,006.42
  6. Step 6: Final answer
    x = 282,714.22

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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.