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Finding the Fourth Proportional to 297,841.65, 411,081.24 and 176,959.65

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Solution

The fourth proportional to 297,841.65, 411,081.24 and 176,959.65 is: 244,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,841.65 : 411,081.24 = 176,959.65 : x
  2. Step 2: Convert to fraction form
    297,841.65/411,081.24 = 176,959.65/x
  3. Step 3: Cross multiply
    297,841.65x = 411,081.24 × 176,959.65
  4. Step 4: Simplify right side
    297,841.65x = 72,744,792,351.97
  5. Step 5: Solve for x
    x = 72,744,792,351.97/297,841.65
  6. Step 6: Final answer
    x = 244,239.82

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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.