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Finding the Fourth Proportional to 297,835.09, 411,072.21 and 176,953.11

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Solution

The fourth proportional to 297,835.09, 411,072.21 and 176,953.11 is: 244,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,835.09 : 411,072.21 = 176,953.11 : x
  2. Step 2: Convert to fraction form
    297,835.09/411,072.21 = 176,953.11/x
  3. Step 3: Cross multiply
    297,835.09x = 411,072.21 × 176,953.11
  4. Step 4: Simplify right side
    297,835.09x = 72,740,505,111.01
  5. Step 5: Solve for x
    x = 72,740,505,111.01/297,835.09
  6. Step 6: Final answer
    x = 244,230.81

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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.