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Finding the Fourth Proportional to 398,648.05, 597,633.38 and 185,539.73

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Solution

The fourth proportional to 398,648.05, 597,633.38 and 185,539.73 is: 278,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,648.05 : 597,633.38 = 185,539.73 : x
  2. Step 2: Convert to fraction form
    398,648.05/597,633.38 = 185,539.73/x
  3. Step 3: Cross multiply
    398,648.05x = 597,633.38 × 185,539.73
  4. Step 4: Simplify right side
    398,648.05x = 110,884,732,744.10
  5. Step 5: Solve for x
    x = 110,884,732,744.10/398,648.05
  6. Step 6: Final answer
    x = 278,151.95

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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.