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Finding the Fourth Proportional to 309,994.49, 427,741.46 and 182,652.77

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Solution

The fourth proportional to 309,994.49, 427,741.46 and 182,652.77 is: 252,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,994.49 : 427,741.46 = 182,652.77 : x
  2. Step 2: Convert to fraction form
    309,994.49/427,741.46 = 182,652.77/x
  3. Step 3: Cross multiply
    309,994.49x = 427,741.46 × 182,652.77
  4. Step 4: Simplify right side
    309,994.49x = 78,128,163,353.88
  5. Step 5: Solve for x
    x = 78,128,163,353.88/309,994.49
  6. Step 6: Final answer
    x = 252,030.81

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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.