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Finding the Fourth Proportional to 301,783.86, 416,305.56 and 204,992.70

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Solution

The fourth proportional to 301,783.86, 416,305.56 and 204,992.70 is: 282,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,783.86 : 416,305.56 = 204,992.70 : x
  2. Step 2: Convert to fraction form
    301,783.86/416,305.56 = 204,992.70/x
  3. Step 3: Cross multiply
    301,783.86x = 416,305.56 × 204,992.70
  4. Step 4: Simplify right side
    301,783.86x = 85,339,600,769.41
  5. Step 5: Solve for x
    x = 85,339,600,769.41/301,783.86
  6. Step 6: Final answer
    x = 282,783.85

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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.