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Finding the Fourth Proportional to 471,104.10, 650,134.35 and 256,255.65

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Solution

The fourth proportional to 471,104.10, 650,134.35 and 256,255.65 is: 353,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,104.10 : 650,134.35 = 256,255.65 : x
  2. Step 2: Convert to fraction form
    471,104.10/650,134.35 = 256,255.65/x
  3. Step 3: Cross multiply
    471,104.10x = 650,134.35 × 256,255.65
  4. Step 4: Simplify right side
    471,104.10x = 166,600,600,446.58
  5. Step 5: Solve for x
    x = 166,600,600,446.58/471,104.10
  6. Step 6: Final answer
    x = 353,638.61

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1.5x scale

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.