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Finding the Fourth Proportional to 493,457.45, 739,865.41 and 193,967.33

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Solution

The fourth proportional to 493,457.45, 739,865.41 and 193,967.33 is: 290,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,457.45 : 739,865.41 = 193,967.33 : x
  2. Step 2: Convert to fraction form
    493,457.45/739,865.41 = 193,967.33/x
  3. Step 3: Cross multiply
    493,457.45x = 739,865.41 × 193,967.33
  4. Step 4: Simplify right side
    493,457.45x = 143,509,713,952.81
  5. Step 5: Solve for x
    x = 143,509,713,952.81/493,457.45
  6. Step 6: Final answer
    x = 290,824.90

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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.