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Finding the Fourth Proportional to 416,827.44, 575,221.08 and 225,846

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Solution

The fourth proportional to 416,827.44, 575,221.08 and 225,846 is: 311,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,827.44 : 575,221.08 = 225,846 : x
  2. Step 2: Convert to fraction form
    416,827.44/575,221.08 = 225,846/x
  3. Step 3: Cross multiply
    416,827.44x = 575,221.08 × 225,846
  4. Step 4: Simplify right side
    416,827.44x = 129,911,380,033.68
  5. Step 5: Solve for x
    x = 129,911,380,033.68/416,827.44
  6. Step 6: Final answer
    x = 311,667.05

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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.