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Finding the Fourth Proportional to 409,794.89, 565,516.96 and 240,029.01

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Solution

The fourth proportional to 409,794.89, 565,516.96 and 240,029.01 is: 331,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,794.89 : 565,516.96 = 240,029.01 : x
  2. Step 2: Convert to fraction form
    409,794.89/565,516.96 = 240,029.01/x
  3. Step 3: Cross multiply
    409,794.89x = 565,516.96 × 240,029.01
  4. Step 4: Simplify right side
    409,794.89x = 135,740,475,446.94
  5. Step 5: Solve for x
    x = 135,740,475,446.94/409,794.89
  6. Step 6: Final answer
    x = 331,240.04

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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.