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Finding the Fourth Proportional to 431,096.89, 594,960.11 and 237,524.06

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Solution

The fourth proportional to 431,096.89, 594,960.11 and 237,524.06 is: 327,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,096.89 : 594,960.11 = 237,524.06 : x
  2. Step 2: Convert to fraction form
    431,096.89/594,960.11 = 237,524.06/x
  3. Step 3: Cross multiply
    431,096.89x = 594,960.11 × 237,524.06
  4. Step 4: Simplify right side
    431,096.89x = 141,317,340,865.25
  5. Step 5: Solve for x
    x = 141,317,340,865.25/431,096.89
  6. Step 6: Final answer
    x = 327,808.77

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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.