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Finding the Fourth Proportional to 295,597.75, 407,924.94 and 161,461.75

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Solution

The fourth proportional to 295,597.75, 407,924.94 and 161,461.75 is: 222,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,597.75 : 407,924.94 = 161,461.75 : x
  2. Step 2: Convert to fraction form
    295,597.75/407,924.94 = 161,461.75/x
  3. Step 3: Cross multiply
    295,597.75x = 407,924.94 × 161,461.75
  4. Step 4: Simplify right side
    295,597.75x = 65,864,274,681.05
  5. Step 5: Solve for x
    x = 65,864,274,681.05/295,597.75
  6. Step 6: Final answer
    x = 222,817.24

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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.