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Finding the Fourth Proportional to 297,895.41, 411,049.80 and 176,991.93

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Solution

The fourth proportional to 297,895.41, 411,049.80 and 176,991.93 is: 244,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,895.41 : 411,049.80 = 176,991.93 : x
  2. Step 2: Convert to fraction form
    297,895.41/411,049.80 = 176,991.93/x
  3. Step 3: Cross multiply
    297,895.41x = 411,049.80 × 176,991.93
  4. Step 4: Simplify right side
    297,895.41x = 72,752,497,428.11
  5. Step 5: Solve for x
    x = 72,752,497,428.11/297,895.41
  6. Step 6: Final answer
    x = 244,221.61

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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.