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Finding the Fourth Proportional to 398,575.10, 597,450.63 and 185,168.90

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Solution

The fourth proportional to 398,575.10, 597,450.63 and 185,168.90 is: 277,561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,575.10 : 597,450.63 = 185,168.90 : x
  2. Step 2: Convert to fraction form
    398,575.10/597,450.63 = 185,168.90/x
  3. Step 3: Cross multiply
    398,575.10x = 597,450.63 × 185,168.90
  4. Step 4: Simplify right side
    398,575.10x = 110,629,275,035.56
  5. Step 5: Solve for x
    x = 110,629,275,035.56/398,575.10
  6. Step 6: Final answer
    x = 277,561.93

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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.