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Finding the Fourth Proportional to 398,500.56, 597,833.46 and 188,023.68

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Solution

The fourth proportional to 398,500.56, 597,833.46 and 188,023.68 is: 282,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,500.56 : 597,833.46 = 188,023.68 : x
  2. Step 2: Convert to fraction form
    398,500.56/597,833.46 = 188,023.68/x
  3. Step 3: Cross multiply
    398,500.56x = 597,833.46 × 188,023.68
  4. Step 4: Simplify right side
    398,500.56x = 112,406,847,176.33
  5. Step 5: Solve for x
    x = 112,406,847,176.33/398,500.56
  6. Step 6: Final answer
    x = 282,074.50

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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.