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Finding the Fourth Proportional to 398,454.40, 597,769.08 and 117,993.52

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Solution

The fourth proportional to 398,454.40, 597,769.08 and 117,993.52 is: 177,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,454.40 : 597,769.08 = 117,993.52 : x
  2. Step 2: Convert to fraction form
    398,454.40/597,769.08 = 117,993.52/x
  3. Step 3: Cross multiply
    398,454.40x = 597,769.08 × 117,993.52
  4. Step 4: Simplify right side
    398,454.40x = 70,532,877,896.36
  5. Step 5: Solve for x
    x = 70,532,877,896.36/398,454.40
  6. Step 6: Final answer
    x = 177,016.19

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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.