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Finding the Fourth Proportional to 366,681.88, 506,044.37 and 205,536.97

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Solution

The fourth proportional to 366,681.88, 506,044.37 and 205,536.97 is: 283,654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,681.88 : 506,044.37 = 205,536.97 : x
  2. Step 2: Convert to fraction form
    366,681.88/506,044.37 = 205,536.97/x
  3. Step 3: Cross multiply
    366,681.88x = 506,044.37 × 205,536.97
  4. Step 4: Simplify right side
    366,681.88x = 104,010,826,495.36
  5. Step 5: Solve for x
    x = 104,010,826,495.36/366,681.88
  6. Step 6: Final answer
    x = 283,654.12

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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.