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Finding the Fourth Proportional to 665,236.71, 998,485.92 and 411,750.42

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Solution

The fourth proportional to 665,236.71, 998,485.92 and 411,750.42 is: 618,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,236.71 : 998,485.92 = 411,750.42 : x
  2. Step 2: Convert to fraction form
    665,236.71/998,485.92 = 411,750.42/x
  3. Step 3: Cross multiply
    665,236.71x = 998,485.92 × 411,750.42
  4. Step 4: Simplify right side
    665,236.71x = 411,126,996,924.09
  5. Step 5: Solve for x
    x = 411,126,996,924.09/665,236.71
  6. Step 6: Final answer
    x = 618,016.10

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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.