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Finding the Fourth Proportional to 400,052.52, 600,078.60 and 160,275.24

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Solution

The fourth proportional to 400,052.52, 600,078.60 and 160,275.24 is: 240,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,052.52 : 600,078.60 = 160,275.24 : x
  2. Step 2: Convert to fraction form
    400,052.52/600,078.60 = 160,275.24/x
  3. Step 3: Cross multiply
    400,052.52x = 600,078.60 × 160,275.24
  4. Step 4: Simplify right side
    400,052.52x = 96,177,741,633.86
  5. Step 5: Solve for x
    x = 96,177,741,633.86/400,052.52
  6. Step 6: Final answer
    x = 240,412.79

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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.