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Finding the Fourth Proportional to 599,101.85, 898,660.72 and 199,742.75

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Solution

The fourth proportional to 599,101.85, 898,660.72 and 199,742.75 is: 299,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,101.85 : 898,660.72 = 199,742.75 : x
  2. Step 2: Convert to fraction form
    599,101.85/898,660.72 = 199,742.75/x
  3. Step 3: Cross multiply
    599,101.85x = 898,660.72 × 199,742.75
  4. Step 4: Simplify right side
    599,101.85x = 179,500,963,529.78
  5. Step 5: Solve for x
    x = 179,500,963,529.78/599,101.85
  6. Step 6: Final answer
    x = 299,616.77

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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.