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Finding the Fourth Proportional to 398,453.40, 597,767.58 and 117,992.52

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Solution

The fourth proportional to 398,453.40, 597,767.58 and 117,992.52 is: 177,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,453.40 : 597,767.58 = 117,992.52 : x
  2. Step 2: Convert to fraction form
    398,453.40/597,767.58 = 117,992.52/x
  3. Step 3: Cross multiply
    398,453.40x = 597,767.58 × 117,992.52
  4. Step 4: Simplify right side
    398,453.40x = 70,532,103,138.50
  5. Step 5: Solve for x
    x = 70,532,103,138.50/398,453.40
  6. Step 6: Final answer
    x = 177,014.69

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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.