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Finding the Fourth Proportional to 366,806.07, 506,164.75 and 205,656.98

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Solution

The fourth proportional to 366,806.07, 506,164.75 and 205,656.98 is: 283,791.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,806.07 : 506,164.75 = 205,656.98 : x
  2. Step 2: Convert to fraction form
    366,806.07/506,164.75 = 205,656.98/x
  3. Step 3: Cross multiply
    366,806.07x = 506,164.75 × 205,656.98
  4. Step 4: Simplify right side
    366,806.07x = 104,096,310,822.49
  5. Step 5: Solve for x
    x = 104,096,310,822.49/366,806.07
  6. Step 6: Final answer
    x = 283,791.13

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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.