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Finding the Fourth Proportional to 288,745.20, 398,477.52 and 161,420.40

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Solution

The fourth proportional to 288,745.20, 398,477.52 and 161,420.40 is: 222,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,745.20 : 398,477.52 = 161,420.40 : x
  2. Step 2: Convert to fraction form
    288,745.20/398,477.52 = 161,420.40/x
  3. Step 3: Cross multiply
    288,745.20x = 398,477.52 × 161,420.40
  4. Step 4: Simplify right side
    288,745.20x = 64,322,400,669.41
  5. Step 5: Solve for x
    x = 64,322,400,669.41/288,745.20
  6. Step 6: Final answer
    x = 222,765.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.