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Finding the Fourth Proportional to 419,765.68, 629,746.94 and 167,061.48

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Solution

The fourth proportional to 419,765.68, 629,746.94 and 167,061.48 is: 250,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,765.68 : 629,746.94 = 167,061.48 : x
  2. Step 2: Convert to fraction form
    419,765.68/629,746.94 = 167,061.48/x
  3. Step 3: Cross multiply
    419,765.68x = 629,746.94 × 167,061.48
  4. Step 4: Simplify right side
    419,765.68x = 105,206,453,877.97
  5. Step 5: Solve for x
    x = 105,206,453,877.97/419,765.68
  6. Step 6: Final answer
    x = 250,631.38

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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.