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Finding the Fourth Proportional to 366,123.95, 505,269.80 and 204,969.39

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Solution

The fourth proportional to 366,123.95, 505,269.80 and 204,969.39 is: 282,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,123.95 : 505,269.80 = 204,969.39 : x
  2. Step 2: Convert to fraction form
    366,123.95/505,269.80 = 204,969.39/x
  3. Step 3: Cross multiply
    366,123.95x = 505,269.80 × 204,969.39
  4. Step 4: Simplify right side
    366,123.95x = 103,564,840,540.45
  5. Step 5: Solve for x
    x = 103,564,840,540.45/366,123.95
  6. Step 6: Final answer
    x = 282,868.25

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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.