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Finding the Fourth Proportional to 297,043.92, 410,106.96 and 206,370.72

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Solution

The fourth proportional to 297,043.92, 410,106.96 and 206,370.72 is: 284,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,043.92 : 410,106.96 = 206,370.72 : x
  2. Step 2: Convert to fraction form
    297,043.92/410,106.96 = 206,370.72/x
  3. Step 3: Cross multiply
    297,043.92x = 410,106.96 × 206,370.72
  4. Step 4: Simplify right side
    297,043.92x = 84,634,068,612.21
  5. Step 5: Solve for x
    x = 84,634,068,612.21/297,043.92
  6. Step 6: Final answer
    x = 284,921.06

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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.