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Finding the Fourth Proportional to 457,806.63, 686,796.09 and 184,273.74

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Solution

The fourth proportional to 457,806.63, 686,796.09 and 184,273.74 is: 276,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,806.63 : 686,796.09 = 184,273.74 : x
  2. Step 2: Convert to fraction form
    457,806.63/686,796.09 = 184,273.74/x
  3. Step 3: Cross multiply
    457,806.63x = 686,796.09 × 184,273.74
  4. Step 4: Simplify right side
    457,806.63x = 126,558,484,121.68
  5. Step 5: Solve for x
    x = 126,558,484,121.68/457,806.63
  6. Step 6: Final answer
    x = 276,445.28

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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.