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Finding the Fourth Proportional to 466,442.57, 699,661.60 and 182,162.00

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Solution

The fourth proportional to 466,442.57, 699,661.60 and 182,162.00 is: 273,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,442.57 : 699,661.60 = 182,162.00 : x
  2. Step 2: Convert to fraction form
    466,442.57/699,661.60 = 182,162.00/x
  3. Step 3: Cross multiply
    466,442.57x = 699,661.60 × 182,162.00
  4. Step 4: Simplify right side
    466,442.57x = 127,451,757,672.95
  5. Step 5: Solve for x
    x = 127,451,757,672.95/466,442.57
  6. Step 6: Final answer
    x = 273,242.12

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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.