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Finding the Fourth Proportional to 471,674.82, 650,922.91 and 256,826.64

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Solution

The fourth proportional to 471,674.82, 650,922.91 and 256,826.64 is: 354,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,674.82 : 650,922.91 = 256,826.64 : x
  2. Step 2: Convert to fraction form
    471,674.82/650,922.91 = 256,826.64/x
  3. Step 3: Cross multiply
    471,674.82x = 650,922.91 × 256,826.64
  4. Step 4: Simplify right side
    471,674.82x = 167,174,343,874.32
  5. Step 5: Solve for x
    x = 167,174,343,874.32/471,674.82
  6. Step 6: Final answer
    x = 354,427.11

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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.