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Finding the Fourth Proportional to 471,365.52, 650,498.22 and 256,519.50

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Solution

The fourth proportional to 471,365.52, 650,498.22 and 256,519.50 is: 354,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,365.52 : 650,498.22 = 256,519.50 : x
  2. Step 2: Convert to fraction form
    471,365.52/650,498.22 = 256,519.50/x
  3. Step 3: Cross multiply
    471,365.52x = 650,498.22 × 256,519.50
  4. Step 4: Simplify right side
    471,365.52x = 166,865,478,145.29
  5. Step 5: Solve for x
    x = 166,865,478,145.29/471,365.52
  6. Step 6: Final answer
    x = 354,004.42

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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.