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Finding the Fourth Proportional to 397,861.41, 596,786.25 and 98,342.01

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Solution

The fourth proportional to 397,861.41, 596,786.25 and 98,342.01 is: 147,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,861.41 : 596,786.25 = 98,342.01 : x
  2. Step 2: Convert to fraction form
    397,861.41/596,786.25 = 98,342.01/x
  3. Step 3: Cross multiply
    397,861.41x = 596,786.25 × 98,342.01
  4. Step 4: Simplify right side
    397,861.41x = 58,689,159,365.36
  5. Step 5: Solve for x
    x = 58,689,159,365.36/397,861.41
  6. Step 6: Final answer
    x = 147,511.57

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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.