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Finding the Fourth Proportional to 366,974.01, 506,383.65 and 205,795.89

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Solution

The fourth proportional to 366,974.01, 506,383.65 and 205,795.89 is: 283,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,974.01 : 506,383.65 = 205,795.89 : x
  2. Step 2: Convert to fraction form
    366,974.01/506,383.65 = 205,795.89/x
  3. Step 3: Cross multiply
    366,974.01x = 506,383.65 × 205,795.89
  4. Step 4: Simplify right side
    366,974.01x = 104,211,673,933.20
  5. Step 5: Solve for x
    x = 104,211,673,933.20/366,974.01
  6. Step 6: Final answer
    x = 283,975.63

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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.