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Finding the Fourth Proportional to 471,674, 650,905.92 and 256,813.52

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Solution

The fourth proportional to 471,674, 650,905.92 and 256,813.52 is: 354,400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,674 : 650,905.92 = 256,813.52 : x
  2. Step 2: Convert to fraction form
    471,674/650,905.92 = 256,813.52/x
  3. Step 3: Cross multiply
    471,674x = 650,905.92 × 256,813.52
  4. Step 4: Simplify right side
    471,674x = 167,161,440,504.04
  5. Step 5: Solve for x
    x = 167,161,440,504.04/471,674
  6. Step 6: Final answer
    x = 354,400.37

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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.