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Finding the Fourth Proportional to 329,044.25, 493,495.07 and 192,175.88

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Solution

The fourth proportional to 329,044.25, 493,495.07 and 192,175.88 is: 288,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,044.25 : 493,495.07 = 192,175.88 : x
  2. Step 2: Convert to fraction form
    329,044.25/493,495.07 = 192,175.88/x
  3. Step 3: Cross multiply
    329,044.25x = 493,495.07 × 192,175.88
  4. Step 4: Simplify right side
    329,044.25x = 94,837,845,924.56
  5. Step 5: Solve for x
    x = 94,837,845,924.56/329,044.25
  6. Step 6: Final answer
    x = 288,222.17

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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.