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Finding the Fourth Proportional to 208,682.96, 312,324.60 and 171,241.52

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Solution

The fourth proportional to 208,682.96, 312,324.60 and 171,241.52 is: 256,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,682.96 : 312,324.60 = 171,241.52 : x
  2. Step 2: Convert to fraction form
    208,682.96/312,324.60 = 171,241.52/x
  3. Step 3: Cross multiply
    208,682.96x = 312,324.60 × 171,241.52
  4. Step 4: Simplify right side
    208,682.96x = 53,482,939,237.39
  5. Step 5: Solve for x
    x = 53,482,939,237.39/208,682.96
  6. Step 6: Final answer
    x = 256,288.00

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1.5x scale

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.