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Finding the Fourth Proportional to 457,134.60, 685,701.90 and 161,646.60

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Solution

The fourth proportional to 457,134.60, 685,701.90 and 161,646.60 is: 242,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,134.60 : 685,701.90 = 161,646.60 : x
  2. Step 2: Convert to fraction form
    457,134.60/685,701.90 = 161,646.60/x
  3. Step 3: Cross multiply
    457,134.60x = 685,701.90 × 161,646.60
  4. Step 4: Simplify right side
    457,134.60x = 110,841,380,748.54
  5. Step 5: Solve for x
    x = 110,841,380,748.54/457,134.60
  6. Step 6: Final answer
    x = 242,469.90

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.