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Finding the Fourth Proportional to 329,613.50, 494,127.02 and 119,204.66

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Solution

The fourth proportional to 329,613.50, 494,127.02 and 119,204.66 is: 178,700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,613.50 : 494,127.02 = 119,204.66 : x
  2. Step 2: Convert to fraction form
    329,613.50/494,127.02 = 119,204.66/x
  3. Step 3: Cross multiply
    329,613.50x = 494,127.02 × 119,204.66
  4. Step 4: Simplify right side
    329,613.50x = 58,902,243,415.91
  5. Step 5: Solve for x
    x = 58,902,243,415.91/329,613.50
  6. Step 6: Final answer
    x = 178,700.94

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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.