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Finding the Fourth Proportional to 366,706.38, 506,076.09 and 205,613.28

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Solution

The fourth proportional to 366,706.38, 506,076.09 and 205,613.28 is: 283,758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,706.38 : 506,076.09 = 205,613.28 : x
  2. Step 2: Convert to fraction form
    366,706.38/506,076.09 = 205,613.28/x
  3. Step 3: Cross multiply
    366,706.38x = 506,076.09 × 205,613.28
  4. Step 4: Simplify right side
    366,706.38x = 104,055,964,794.48
  5. Step 5: Solve for x
    x = 104,055,964,794.48/366,706.38
  6. Step 6: Final answer
    x = 283,758.26

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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.