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Finding the Fourth Proportional to 297,221.78, 410,138.96 and 176,342.24

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Solution

The fourth proportional to 297,221.78, 410,138.96 and 176,342.24 is: 243,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,221.78 : 410,138.96 = 176,342.24 : x
  2. Step 2: Convert to fraction form
    297,221.78/410,138.96 = 176,342.24/x
  3. Step 3: Cross multiply
    297,221.78x = 410,138.96 × 176,342.24
  4. Step 4: Simplify right side
    297,221.78x = 72,324,822,917.67
  5. Step 5: Solve for x
    x = 72,324,822,917.67/297,221.78
  6. Step 6: Final answer
    x = 243,336.21

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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.