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Finding the Fourth Proportional to 428,131.75, 590,821.86 and 237,157.51

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Solution

The fourth proportional to 428,131.75, 590,821.86 and 237,157.51 is: 327,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,131.75 : 590,821.86 = 237,157.51 : x
  2. Step 2: Convert to fraction form
    428,131.75/590,821.86 = 237,157.51/x
  3. Step 3: Cross multiply
    428,131.75x = 590,821.86 × 237,157.51
  4. Step 4: Simplify right side
    428,131.75x = 140,117,841,171.17
  5. Step 5: Solve for x
    x = 140,117,841,171.17/428,131.75
  6. Step 6: Final answer
    x = 327,277.39

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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.