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Finding the Fourth Proportional to 367,020.54, 506,545.11 and 205,940.70

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Solution

The fourth proportional to 367,020.54, 506,545.11 and 205,940.70 is: 284,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,020.54 : 506,545.11 = 205,940.70 : x
  2. Step 2: Convert to fraction form
    367,020.54/506,545.11 = 205,940.70/x
  3. Step 3: Cross multiply
    367,020.54x = 506,545.11 × 205,940.70
  4. Step 4: Simplify right side
    367,020.54x = 104,318,254,534.98
  5. Step 5: Solve for x
    x = 104,318,254,534.98/367,020.54
  6. Step 6: Final answer
    x = 284,230.02

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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.