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Finding the Fourth Proportional to 328,449.91, 491,715.28 and 296,932.81

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Solution

The fourth proportional to 328,449.91, 491,715.28 and 296,932.81 is: 444,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,449.91 : 491,715.28 = 296,932.81 : x
  2. Step 2: Convert to fraction form
    328,449.91/491,715.28 = 296,932.81/x
  3. Step 3: Cross multiply
    328,449.91x = 491,715.28 × 296,932.81
  4. Step 4: Simplify right side
    328,449.91x = 146,006,399,810.34
  5. Step 5: Solve for x
    x = 146,006,399,810.34/328,449.91
  6. Step 6: Final answer
    x = 444,531.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.