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Finding the Fourth Proportional to 424,139.98, 635,350.64 and 196,111.54

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Solution

The fourth proportional to 424,139.98, 635,350.64 and 196,111.54 is: 293,769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,139.98 : 635,350.64 = 196,111.54 : x
  2. Step 2: Convert to fraction form
    424,139.98/635,350.64 = 196,111.54/x
  3. Step 3: Cross multiply
    424,139.98x = 635,350.64 × 196,111.54
  4. Step 4: Simplify right side
    424,139.98x = 124,599,592,450.39
  5. Step 5: Solve for x
    x = 124,599,592,450.39/424,139.98
  6. Step 6: Final answer
    x = 293,769.98

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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.