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Finding the Fourth Proportional to 395,968.14, 546,430.32 and 214,676.64

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Solution

The fourth proportional to 395,968.14, 546,430.32 and 214,676.64 is: 296,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,968.14 : 546,430.32 = 214,676.64 : x
  2. Step 2: Convert to fraction form
    395,968.14/546,430.32 = 214,676.64/x
  3. Step 3: Cross multiply
    395,968.14x = 546,430.32 × 214,676.64
  4. Step 4: Simplify right side
    395,968.14x = 117,305,825,091.73
  5. Step 5: Solve for x
    x = 117,305,825,091.73/395,968.14
  6. Step 6: Final answer
    x = 296,250.67

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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.