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Finding the Fourth Proportional to 462,821.76, 694,247.76 and 159,212.79

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Solution

The fourth proportional to 462,821.76, 694,247.76 and 159,212.79 is: 238,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,821.76 : 694,247.76 = 159,212.79 : x
  2. Step 2: Convert to fraction form
    462,821.76/694,247.76 = 159,212.79/x
  3. Step 3: Cross multiply
    462,821.76x = 694,247.76 × 159,212.79
  4. Step 4: Simplify right side
    462,821.76x = 110,533,122,820.85
  5. Step 5: Solve for x
    x = 110,533,122,820.85/462,821.76
  6. Step 6: Final answer
    x = 238,824.39

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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.