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Finding the Fourth Proportional to 428,114.50, 590,795.37 and 234,524.09

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Solution

The fourth proportional to 428,114.50, 590,795.37 and 234,524.09 is: 323,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,114.50 : 590,795.37 = 234,524.09 : x
  2. Step 2: Convert to fraction form
    428,114.50/590,795.37 = 234,524.09/x
  3. Step 3: Cross multiply
    428,114.50x = 590,795.37 × 234,524.09
  4. Step 4: Simplify right side
    428,114.50x = 138,555,748,002.45
  5. Step 5: Solve for x
    x = 138,555,748,002.45/428,114.50
  6. Step 6: Final answer
    x = 323,641.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.