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Finding the Fourth Proportional to 471,570.40, 650,747.24 and 256,706

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Solution

The fourth proportional to 471,570.40, 650,747.24 and 256,706 is: 354,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,570.40 : 650,747.24 = 256,706 : x
  2. Step 2: Convert to fraction form
    471,570.40/650,747.24 = 256,706/x
  3. Step 3: Cross multiply
    471,570.40x = 650,747.24 × 256,706
  4. Step 4: Simplify right side
    471,570.40x = 167,050,720,991.44
  5. Step 5: Solve for x
    x = 167,050,720,991.44/471,570.40
  6. Step 6: Final answer
    x = 354,243.44

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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.