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Finding the Fourth Proportional to 409,270.56, 565,027.48 and 271,636.14

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Solution

The fourth proportional to 409,270.56, 565,027.48 and 271,636.14 is: 375,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,270.56 : 565,027.48 = 271,636.14 : x
  2. Step 2: Convert to fraction form
    409,270.56/565,027.48 = 271,636.14/x
  3. Step 3: Cross multiply
    409,270.56x = 565,027.48 × 271,636.14
  4. Step 4: Simplify right side
    409,270.56x = 153,481,880,835.99
  5. Step 5: Solve for x
    x = 153,481,880,835.99/409,270.56
  6. Step 6: Final answer
    x = 375,013.25

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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.