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Finding the Fourth Proportional to 471,456.61, 650,610.12 and 256,598.23

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Solution

The fourth proportional to 471,456.61, 650,610.12 and 256,598.23 is: 354,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,456.61 : 650,610.12 = 256,598.23 : x
  2. Step 2: Convert to fraction form
    471,456.61/650,610.12 = 256,598.23/x
  3. Step 3: Cross multiply
    471,456.61x = 650,610.12 × 256,598.23
  4. Step 4: Simplify right side
    471,456.61x = 166,945,405,212.09
  5. Step 5: Solve for x
    x = 166,945,405,212.09/471,456.61
  6. Step 6: Final answer
    x = 354,105.56

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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.