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Finding the Fourth Proportional to 366,963.49, 506,411.41 and 205,827.15

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Solution

The fourth proportional to 366,963.49, 506,411.41 and 205,827.15 is: 284,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,963.49 : 506,411.41 = 205,827.15 : x
  2. Step 2: Convert to fraction form
    366,963.49/506,411.41 = 205,827.15/x
  3. Step 3: Cross multiply
    366,963.49x = 506,411.41 × 205,827.15
  4. Step 4: Simplify right side
    366,963.49x = 104,233,216,733.21
  5. Step 5: Solve for x
    x = 104,233,216,733.21/366,963.49
  6. Step 6: Final answer
    x = 284,042.47

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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.