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Finding the Fourth Proportional to 284,195.60, 425,731.80 and 184,425.20

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Solution

The fourth proportional to 284,195.60, 425,731.80 and 184,425.20 is: 276,273.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,195.60 : 425,731.80 = 184,425.20 : x
  2. Step 2: Convert to fraction form
    284,195.60/425,731.80 = 184,425.20/x
  3. Step 3: Cross multiply
    284,195.60x = 425,731.80 × 184,425.20
  4. Step 4: Simplify right side
    284,195.60x = 78,515,672,361.36
  5. Step 5: Solve for x
    x = 78,515,672,361.36/284,195.60
  6. Step 6: Final answer
    x = 276,273.36

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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.