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Finding the Fourth Proportional to 284,251.60, 425,815.80 and 184,481.20

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Solution

The fourth proportional to 284,251.60, 425,815.80 and 184,481.20 is: 276,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,251.60 : 425,815.80 = 184,481.20 : x
  2. Step 2: Convert to fraction form
    284,251.60/425,815.80 = 184,481.20/x
  3. Step 3: Cross multiply
    284,251.60x = 425,815.80 × 184,481.20
  4. Step 4: Simplify right side
    284,251.60x = 78,555,009,762.96
  5. Step 5: Solve for x
    x = 78,555,009,762.96/284,251.60
  6. Step 6: Final answer
    x = 276,357.32

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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.