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Finding the Fourth Proportional to 395,766, 546,157.08 and 216,914.16

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Solution

The fourth proportional to 395,766, 546,157.08 and 216,914.16 is: 299,341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,766 : 546,157.08 = 216,914.16 : x
  2. Step 2: Convert to fraction form
    395,766/546,157.08 = 216,914.16/x
  3. Step 3: Cross multiply
    395,766x = 546,157.08 × 216,914.16
  4. Step 4: Simplify right side
    395,766x = 118,469,204,236.25
  5. Step 5: Solve for x
    x = 118,469,204,236.25/395,766
  6. Step 6: Final answer
    x = 299,341.54

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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.