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Finding the Fourth Proportional to 306,744.70, 423,198.14 and 177,612.70

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Solution

The fourth proportional to 306,744.70, 423,198.14 and 177,612.70 is: 245,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,744.70 : 423,198.14 = 177,612.70 : x
  2. Step 2: Convert to fraction form
    306,744.70/423,198.14 = 177,612.70/x
  3. Step 3: Cross multiply
    306,744.70x = 423,198.14 × 177,612.70
  4. Step 4: Simplify right side
    306,744.70x = 75,165,364,280.38
  5. Step 5: Solve for x
    x = 75,165,364,280.38/306,744.70
  6. Step 6: Final answer
    x = 245,042.10

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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.