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Finding the Fourth Proportional to 452,183.76, 678,268.62 and 152,874.54

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Solution

The fourth proportional to 452,183.76, 678,268.62 and 152,874.54 is: 229,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,183.76 : 678,268.62 = 152,874.54 : x
  2. Step 2: Convert to fraction form
    452,183.76/678,268.62 = 152,874.54/x
  3. Step 3: Cross multiply
    452,183.76x = 678,268.62 × 152,874.54
  4. Step 4: Simplify right side
    452,183.76x = 103,690,003,278.94
  5. Step 5: Solve for x
    x = 103,690,003,278.94/452,183.76
  6. Step 6: Final answer
    x = 229,309.44

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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.