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Finding the Fourth Proportional to 471,049.35, 650,051.16 and 256,190.97

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Solution

The fourth proportional to 471,049.35, 650,051.16 and 256,190.97 is: 353,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,049.35 : 650,051.16 = 256,190.97 : x
  2. Step 2: Convert to fraction form
    471,049.35/650,051.16 = 256,190.97/x
  3. Step 3: Cross multiply
    471,049.35x = 650,051.16 × 256,190.97
  4. Step 4: Simplify right side
    471,049.35x = 166,537,237,230.03
  5. Step 5: Solve for x
    x = 166,537,237,230.03/471,049.35
  6. Step 6: Final answer
    x = 353,545.20

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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.