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Finding the Fourth Proportional to 468,930.92, 702,255.90 and 219,684.20

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Solution

The fourth proportional to 468,930.92, 702,255.90 and 219,684.20 is: 328,992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,930.92 : 702,255.90 = 219,684.20 : x
  2. Step 2: Convert to fraction form
    468,930.92/702,255.90 = 219,684.20/x
  3. Step 3: Cross multiply
    468,930.92x = 702,255.90 × 219,684.20
  4. Step 4: Simplify right side
    468,930.92x = 154,274,525,586.78
  5. Step 5: Solve for x
    x = 154,274,525,586.78/468,930.92
  6. Step 6: Final answer
    x = 328,992.01

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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.