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Finding the Fourth Proportional to 327,442.82, 451,870.43 and 184,202.98

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Solution

The fourth proportional to 327,442.82, 451,870.43 and 184,202.98 is: 254,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,442.82 : 451,870.43 = 184,202.98 : x
  2. Step 2: Convert to fraction form
    327,442.82/451,870.43 = 184,202.98/x
  3. Step 3: Cross multiply
    327,442.82x = 451,870.43 × 184,202.98
  4. Step 4: Simplify right side
    327,442.82x = 83,235,877,729.19
  5. Step 5: Solve for x
    x = 83,235,877,729.19/327,442.82
  6. Step 6: Final answer
    x = 254,199.74

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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.