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Finding the Fourth Proportional to 328,714.50, 453,626.43 and 177,811.50

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Solution

The fourth proportional to 328,714.50, 453,626.43 and 177,811.50 is: 245,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,714.50 : 453,626.43 = 177,811.50 : x
  2. Step 2: Convert to fraction form
    328,714.50/453,626.43 = 177,811.50/x
  3. Step 3: Cross multiply
    328,714.50x = 453,626.43 × 177,811.50
  4. Step 4: Simplify right side
    328,714.50x = 80,659,995,957.95
  5. Step 5: Solve for x
    x = 80,659,995,957.95/328,714.50
  6. Step 6: Final answer
    x = 245,380.10

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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.