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Finding the Fourth Proportional to 454,942.32, 682,500.96 and 174,437.70

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Solution

The fourth proportional to 454,942.32, 682,500.96 and 174,437.70 is: 261,690.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,942.32 : 682,500.96 = 174,437.70 : x
  2. Step 2: Convert to fraction form
    454,942.32/682,500.96 = 174,437.70/x
  3. Step 3: Cross multiply
    454,942.32x = 682,500.96 × 174,437.70
  4. Step 4: Simplify right side
    454,942.32x = 119,053,897,710.19
  5. Step 5: Solve for x
    x = 119,053,897,710.19/454,942.32
  6. Step 6: Final answer
    x = 261,690.09

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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.