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Finding the Fourth Proportional to 314,650.89, 434,221.20 and 178,687.66

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Solution

The fourth proportional to 314,650.89, 434,221.20 and 178,687.66 is: 246,590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,650.89 : 434,221.20 = 178,687.66 : x
  2. Step 2: Convert to fraction form
    314,650.89/434,221.20 = 178,687.66/x
  3. Step 3: Cross multiply
    314,650.89x = 434,221.20 × 178,687.66
  4. Step 4: Simplify right side
    314,650.89x = 77,589,970,150.39
  5. Step 5: Solve for x
    x = 77,589,970,150.39/314,650.89
  6. Step 6: Final answer
    x = 246,590.66

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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.