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Finding the Fourth Proportional to 471,405.02, 650,538.95 and 256,540.37

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Solution

The fourth proportional to 471,405.02, 650,538.95 and 256,540.37 is: 354,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,405.02 : 650,538.95 = 256,540.37 : x
  2. Step 2: Convert to fraction form
    471,405.02/650,538.95 = 256,540.37/x
  3. Step 3: Cross multiply
    471,405.02x = 650,538.95 × 256,540.37
  4. Step 4: Simplify right side
    471,405.02x = 166,889,498,397.02
  5. Step 5: Solve for x
    x = 166,889,498,397.02/471,405.02
  6. Step 6: Final answer
    x = 354,025.72

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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.