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Finding the Fourth Proportional to 493,111.26, 739,222.81 and 177,346.13

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Solution

The fourth proportional to 493,111.26, 739,222.81 and 177,346.13 is: 265,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,111.26 : 739,222.81 = 177,346.13 : x
  2. Step 2: Convert to fraction form
    493,111.26/739,222.81 = 177,346.13/x
  3. Step 3: Cross multiply
    493,111.26x = 739,222.81 × 177,346.13
  4. Step 4: Simplify right side
    493,111.26x = 131,098,300,421.75
  5. Step 5: Solve for x
    x = 131,098,300,421.75/493,111.26
  6. Step 6: Final answer
    x = 265,859.47

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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.