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Finding the Fourth Proportional to 413,791.12, 571,293.17 and 270,792.91

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Solution

The fourth proportional to 413,791.12, 571,293.17 and 270,792.91 is: 373,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,791.12 : 571,293.17 = 270,792.91 : x
  2. Step 2: Convert to fraction form
    413,791.12/571,293.17 = 270,792.91/x
  3. Step 3: Cross multiply
    413,791.12x = 571,293.17 × 270,792.91
  4. Step 4: Simplify right side
    413,791.12x = 154,702,139,967.43
  5. Step 5: Solve for x
    x = 154,702,139,967.43/413,791.12
  6. Step 6: Final answer
    x = 373,865.30

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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.