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Finding the Fourth Proportional to 443,182.20, 664,892.10 and 177,129.60

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Solution

The fourth proportional to 443,182.20, 664,892.10 and 177,129.60 is: 265,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,182.20 : 664,892.10 = 177,129.60 : x
  2. Step 2: Convert to fraction form
    443,182.20/664,892.10 = 177,129.60/x
  3. Step 3: Cross multiply
    443,182.20x = 664,892.10 × 177,129.60
  4. Step 4: Simplify right side
    443,182.20x = 117,772,071,716.16
  5. Step 5: Solve for x
    x = 117,772,071,716.16/443,182.20
  6. Step 6: Final answer
    x = 265,741.88

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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.