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Finding the Fourth Proportional to 289,906.50, 400,114.71 and 176,794.86

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Solution

The fourth proportional to 289,906.50, 400,114.71 and 176,794.86 is: 244,003.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,906.50 : 400,114.71 = 176,794.86 : x
  2. Step 2: Convert to fraction form
    289,906.50/400,114.71 = 176,794.86/x
  3. Step 3: Cross multiply
    289,906.50x = 400,114.71 × 176,794.86
  4. Step 4: Simplify right side
    289,906.50x = 70,738,224,138.39
  5. Step 5: Solve for x
    x = 70,738,224,138.39/289,906.50
  6. Step 6: Final answer
    x = 244,003.58

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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.