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Finding the Fourth Proportional to 366,682.38, 506,045.06 and 205,537.46

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Solution

The fourth proportional to 366,682.38, 506,045.06 and 205,537.46 is: 283,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,682.38 : 506,045.06 = 205,537.46 : x
  2. Step 2: Convert to fraction form
    366,682.38/506,045.06 = 205,537.46/x
  3. Step 3: Cross multiply
    366,682.38x = 506,045.06 × 205,537.46
  4. Step 4: Simplify right side
    366,682.38x = 104,011,216,277.95
  5. Step 5: Solve for x
    x = 104,011,216,277.95/366,682.38
  6. Step 6: Final answer
    x = 283,654.80

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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.