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Finding the Fourth Proportional to 409,863.91, 565,611.06 and 228,576.01

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Solution

The fourth proportional to 409,863.91, 565,611.06 and 228,576.01 is: 315,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,863.91 : 565,611.06 = 228,576.01 : x
  2. Step 2: Convert to fraction form
    409,863.91/565,611.06 = 228,576.01/x
  3. Step 3: Cross multiply
    409,863.91x = 565,611.06 × 228,576.01
  4. Step 4: Simplify right side
    409,863.91x = 129,285,119,306.67
  5. Step 5: Solve for x
    x = 129,285,119,306.67/409,863.91
  6. Step 6: Final answer
    x = 315,434.26

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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.