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Finding the Fourth Proportional to 665,616.76, 998,593.02 and 185,844.12

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Solution

The fourth proportional to 665,616.76, 998,593.02 and 185,844.12 is: 278,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,616.76 : 998,593.02 = 185,844.12 : x
  2. Step 2: Convert to fraction form
    665,616.76/998,593.02 = 185,844.12/x
  3. Step 3: Cross multiply
    665,616.76x = 998,593.02 × 185,844.12
  4. Step 4: Simplify right side
    665,616.76x = 185,582,641,040.04
  5. Step 5: Solve for x
    x = 185,582,641,040.04/665,616.76
  6. Step 6: Final answer
    x = 278,813.05

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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.