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Finding the Fourth Proportional to 409,381.92, 613,324.71 and 296,782.83

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Solution

The fourth proportional to 409,381.92, 613,324.71 and 296,782.83 is: 444,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,381.92 : 613,324.71 = 296,782.83 : x
  2. Step 2: Convert to fraction form
    409,381.92/613,324.71 = 296,782.83/x
  3. Step 3: Cross multiply
    409,381.92x = 613,324.71 × 296,782.83
  4. Step 4: Simplify right side
    409,381.92x = 182,024,243,142.73
  5. Step 5: Solve for x
    x = 182,024,243,142.73/409,381.92
  6. Step 6: Final answer
    x = 444,631.86

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1.5x scale

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.