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Finding the Fourth Proportional to 308,851.60, 463,277.40 and 184,435.60

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Solution

The fourth proportional to 308,851.60, 463,277.40 and 184,435.60 is: 276,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,851.60 : 463,277.40 = 184,435.60 : x
  2. Step 2: Convert to fraction form
    308,851.60/463,277.40 = 184,435.60/x
  3. Step 3: Cross multiply
    308,851.60x = 463,277.40 × 184,435.60
  4. Step 4: Simplify right side
    308,851.60x = 85,444,845,235.44
  5. Step 5: Solve for x
    x = 85,444,845,235.44/308,851.60
  6. Step 6: Final answer
    x = 276,653.40

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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.