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Finding the Fourth Proportional to 256,650.89, 354,011.37 and 164,624.54

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Solution

The fourth proportional to 256,650.89, 354,011.37 and 164,624.54 is: 227,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,650.89 : 354,011.37 = 164,624.54 : x
  2. Step 2: Convert to fraction form
    256,650.89/354,011.37 = 164,624.54/x
  3. Step 3: Cross multiply
    256,650.89x = 354,011.37 × 164,624.54
  4. Step 4: Simplify right side
    256,650.89x = 58,278,958,941.02
  5. Step 5: Solve for x
    x = 58,278,958,941.02/256,650.89
  6. Step 6: Final answer
    x = 227,074.84

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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.