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Finding the Fourth Proportional to 409,401.10, 565,207.92 and 273,664.93

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Solution

The fourth proportional to 409,401.10, 565,207.92 and 273,664.93 is: 377,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,401.10 : 565,207.92 = 273,664.93 : x
  2. Step 2: Convert to fraction form
    409,401.10/565,207.92 = 273,664.93/x
  3. Step 3: Cross multiply
    409,401.10x = 565,207.92 × 273,664.93
  4. Step 4: Simplify right side
    409,401.10x = 154,677,585,862.25
  5. Step 5: Solve for x
    x = 154,677,585,862.25/409,401.10
  6. Step 6: Final answer
    x = 377,814.29

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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.