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Finding the Fourth Proportional to 295,039.80, 407,084.94 and 167,705.37

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Solution

The fourth proportional to 295,039.80, 407,084.94 and 167,705.37 is: 231,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,039.80 : 407,084.94 = 167,705.37 : x
  2. Step 2: Convert to fraction form
    295,039.80/407,084.94 = 167,705.37/x
  3. Step 3: Cross multiply
    295,039.80x = 407,084.94 × 167,705.37
  4. Step 4: Simplify right side
    295,039.80x = 68,270,330,484.13
  5. Step 5: Solve for x
    x = 68,270,330,484.13/295,039.80
  6. Step 6: Final answer
    x = 231,393.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.