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Finding the Fourth Proportional to 264,684.64, 396,793.52 and 98,356

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Solution

The fourth proportional to 264,684.64, 396,793.52 and 98,356 is: 147,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,684.64 : 396,793.52 = 98,356 : x
  2. Step 2: Convert to fraction form
    264,684.64/396,793.52 = 98,356/x
  3. Step 3: Cross multiply
    264,684.64x = 396,793.52 × 98,356
  4. Step 4: Simplify right side
    264,684.64x = 39,027,023,453.12
  5. Step 5: Solve for x
    x = 39,027,023,453.12/264,684.64
  6. Step 6: Final answer
    x = 147,447.25

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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.