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Finding the Fourth Proportional to 499,015.84, 748,550.64 and 199,541.92

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Solution

The fourth proportional to 499,015.84, 748,550.64 and 199,541.92 is: 299,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,015.84 : 748,550.64 = 199,541.92 : x
  2. Step 2: Convert to fraction form
    499,015.84/748,550.64 = 199,541.92/x
  3. Step 3: Cross multiply
    499,015.84x = 748,550.64 × 199,541.92
  4. Step 4: Simplify right side
    499,015.84x = 149,367,231,922.83
  5. Step 5: Solve for x
    x = 149,367,231,922.83/499,015.84
  6. Step 6: Final answer
    x = 299,323.63

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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.