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Finding the Fourth Proportional to 308,849.60, 463,274.40 and 184,433.60

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Solution

The fourth proportional to 308,849.60, 463,274.40 and 184,433.60 is: 276,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,849.60 : 463,274.40 = 184,433.60 : x
  2. Step 2: Convert to fraction form
    308,849.60/463,274.40 = 184,433.60/x
  3. Step 3: Cross multiply
    308,849.60x = 463,274.40 × 184,433.60
  4. Step 4: Simplify right side
    308,849.60x = 85,443,365,379.84
  5. Step 5: Solve for x
    x = 85,443,365,379.84/308,849.60
  6. Step 6: Final answer
    x = 276,650.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.