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Finding the Fourth Proportional to 471,064.34, 650,077.02 and 256,205.86

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Solution

The fourth proportional to 471,064.34, 650,077.02 and 256,205.86 is: 353,568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,064.34 : 650,077.02 = 256,205.86 : x
  2. Step 2: Convert to fraction form
    471,064.34/650,077.02 = 256,205.86/x
  3. Step 3: Cross multiply
    471,064.34x = 650,077.02 × 256,205.86
  4. Step 4: Simplify right side
    471,064.34x = 166,553,540,350.15
  5. Step 5: Solve for x
    x = 166,553,540,350.15/471,064.34
  6. Step 6: Final answer
    x = 353,568.56

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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.