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Finding the Fourth Proportional to 366,806.79, 506,214.24 and 205,654.05

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Solution

The fourth proportional to 366,806.79, 506,214.24 and 205,654.05 is: 283,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,806.79 : 506,214.24 = 205,654.05 : x
  2. Step 2: Convert to fraction form
    366,806.79/506,214.24 = 205,654.05/x
  3. Step 3: Cross multiply
    366,806.79x = 506,214.24 × 205,654.05
  4. Step 4: Simplify right side
    366,806.79x = 104,105,008,623.67
  5. Step 5: Solve for x
    x = 104,105,008,623.67/366,806.79
  6. Step 6: Final answer
    x = 283,814.29

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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.