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Finding the Fourth Proportional to 471,713.76, 650,964.56 and 256,855.37

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Solution

The fourth proportional to 471,713.76, 650,964.56 and 256,855.37 is: 354,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,713.76 : 650,964.56 = 256,855.37 : x
  2. Step 2: Convert to fraction form
    471,713.76/650,964.56 = 256,855.37/x
  3. Step 3: Cross multiply
    471,713.76x = 650,964.56 × 256,855.37
  4. Step 4: Simplify right side
    471,713.76x = 167,203,738,376.59
  5. Step 5: Solve for x
    x = 167,203,738,376.59/471,713.76
  6. Step 6: Final answer
    x = 354,460.17

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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.