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Finding the Fourth Proportional to 649,093.11, 973,731.81 and 199,851.32

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Solution

The fourth proportional to 649,093.11, 973,731.81 and 199,851.32 is: 299,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,093.11 : 973,731.81 = 199,851.32 : x
  2. Step 2: Convert to fraction form
    649,093.11/973,731.81 = 199,851.32/x
  3. Step 3: Cross multiply
    649,093.11x = 973,731.81 × 199,851.32
  4. Step 4: Simplify right side
    649,093.11x = 194,601,582,685.83
  5. Step 5: Solve for x
    x = 194,601,582,685.83/649,093.11
  6. Step 6: Final answer
    x = 299,805.34

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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.