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Finding the Fourth Proportional to 366,966, 506,414.87 and 205,829.65

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Solution

The fourth proportional to 366,966, 506,414.87 and 205,829.65 is: 284,045.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,966 : 506,414.87 = 205,829.65 : x
  2. Step 2: Convert to fraction form
    366,966/506,414.87 = 205,829.65/x
  3. Step 3: Cross multiply
    366,966x = 506,414.87 × 205,829.65
  4. Step 4: Simplify right side
    366,966x = 104,235,195,446.90
  5. Step 5: Solve for x
    x = 104,235,195,446.90/366,966
  6. Step 6: Final answer
    x = 284,045.92

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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.