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Finding the Fourth Proportional to 432,314.71, 648,495.71 and 179,620.75

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Solution

The fourth proportional to 432,314.71, 648,495.71 and 179,620.75 is: 269,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,314.71 : 648,495.71 = 179,620.75 : x
  2. Step 2: Convert to fraction form
    432,314.71/648,495.71 = 179,620.75/x
  3. Step 3: Cross multiply
    432,314.71x = 648,495.71 × 179,620.75
  4. Step 4: Simplify right side
    432,314.71x = 116,483,285,801.98
  5. Step 5: Solve for x
    x = 116,483,285,801.98/432,314.71
  6. Step 6: Final answer
    x = 269,440.95

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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.