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Finding the Fourth Proportional to 299,027.20, 448,540.80 and 188,435.20

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Solution

The fourth proportional to 299,027.20, 448,540.80 and 188,435.20 is: 282,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,027.20 : 448,540.80 = 188,435.20 : x
  2. Step 2: Convert to fraction form
    299,027.20/448,540.80 = 188,435.20/x
  3. Step 3: Cross multiply
    299,027.20x = 448,540.80 × 188,435.20
  4. Step 4: Simplify right side
    299,027.20x = 84,520,875,356.16
  5. Step 5: Solve for x
    x = 84,520,875,356.16/299,027.20
  6. Step 6: Final answer
    x = 282,652.80

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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.