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Finding the Fourth Proportional to 291,242.87, 401,914.34 and 163,918.46

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Solution

The fourth proportional to 291,242.87, 401,914.34 and 163,918.46 is: 226,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,242.87 : 401,914.34 = 163,918.46 : x
  2. Step 2: Convert to fraction form
    291,242.87/401,914.34 = 163,918.46/x
  3. Step 3: Cross multiply
    291,242.87x = 401,914.34 × 163,918.46
  4. Step 4: Simplify right side
    291,242.87x = 65,881,180,464.60
  5. Step 5: Solve for x
    x = 65,881,180,464.60/291,242.87
  6. Step 6: Final answer
    x = 226,207.02

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