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Finding the Fourth Proportional to 468,520.64, 702,912.20 and 188,234.72

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Solution

The fourth proportional to 468,520.64, 702,912.20 and 188,234.72 is: 282,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,520.64 : 702,912.20 = 188,234.72 : x
  2. Step 2: Convert to fraction form
    468,520.64/702,912.20 = 188,234.72/x
  3. Step 3: Cross multiply
    468,520.64x = 702,912.20 × 188,234.72
  4. Step 4: Simplify right side
    468,520.64x = 132,312,481,151.58
  5. Step 5: Solve for x
    x = 132,312,481,151.58/468,520.64
  6. Step 6: Final answer
    x = 282,404.81

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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.