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Finding the Fourth Proportional to 301,621.47, 416,242.31 and 165,669.32

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Solution

The fourth proportional to 301,621.47, 416,242.31 and 165,669.32 is: 228,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,621.47 : 416,242.31 = 165,669.32 : x
  2. Step 2: Convert to fraction form
    301,621.47/416,242.31 = 165,669.32/x
  3. Step 3: Cross multiply
    301,621.47x = 416,242.31 × 165,669.32
  4. Step 4: Simplify right side
    301,621.47x = 68,958,577,543.37
  5. Step 5: Solve for x
    x = 68,958,577,543.37/301,621.47
  6. Step 6: Final answer
    x = 228,626.22

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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.