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Finding the Fourth Proportional to 366,964.49, 506,412.79 and 205,828.15

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Solution

The fourth proportional to 366,964.49, 506,412.79 and 205,828.15 is: 284,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,964.49 : 506,412.79 = 205,828.15 : x
  2. Step 2: Convert to fraction form
    366,964.49/506,412.79 = 205,828.15/x
  3. Step 3: Cross multiply
    366,964.49x = 506,412.79 × 205,828.15
  4. Step 4: Simplify right side
    366,964.49x = 104,234,007,702.04
  5. Step 5: Solve for x
    x = 104,234,007,702.04/366,964.49
  6. Step 6: Final answer
    x = 284,043.85

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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.