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Finding the Fourth Proportional to 434,243.54, 650,402.91 and 333,663.38

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Solution

The fourth proportional to 434,243.54, 650,402.91 and 333,663.38 is: 499,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,243.54 : 650,402.91 = 333,663.38 : x
  2. Step 2: Convert to fraction form
    434,243.54/650,402.91 = 333,663.38/x
  3. Step 3: Cross multiply
    434,243.54x = 650,402.91 × 333,663.38
  4. Step 4: Simplify right side
    434,243.54x = 217,015,633,312.44
  5. Step 5: Solve for x
    x = 217,015,633,312.44/434,243.54
  6. Step 6: Final answer
    x = 499,755.58

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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.