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Finding the Fourth Proportional to 366,681.38, 506,043.68 and 205,536.46

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Solution

The fourth proportional to 366,681.38, 506,043.68 and 205,536.46 is: 283,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,681.38 : 506,043.68 = 205,536.46 : x
  2. Step 2: Convert to fraction form
    366,681.38/506,043.68 = 205,536.46/x
  3. Step 3: Cross multiply
    366,681.38x = 506,043.68 × 205,536.46
  4. Step 4: Simplify right side
    366,681.38x = 104,010,426,592.57
  5. Step 5: Solve for x
    x = 104,010,426,592.57/366,681.38
  6. Step 6: Final answer
    x = 283,653.42

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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.