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Finding the Fourth Proportional to 411,475.56, 567,837.11 and 230,190.52

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Solution

The fourth proportional to 411,475.56, 567,837.11 and 230,190.52 is: 317,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,475.56 : 567,837.11 = 230,190.52 : x
  2. Step 2: Convert to fraction form
    411,475.56/567,837.11 = 230,190.52/x
  3. Step 3: Cross multiply
    411,475.56x = 567,837.11 × 230,190.52
  4. Step 4: Simplify right side
    411,475.56x = 130,710,719,084.30
  5. Step 5: Solve for x
    x = 130,710,719,084.30/411,475.56
  6. Step 6: Final answer
    x = 317,663.38

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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.