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Finding the Fourth Proportional to 298,731.63, 412,061.27 and 177,782.64

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Solution

The fourth proportional to 298,731.63, 412,061.27 and 177,782.64 is: 245,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,731.63 : 412,061.27 = 177,782.64 : x
  2. Step 2: Convert to fraction form
    298,731.63/412,061.27 = 177,782.64/x
  3. Step 3: Cross multiply
    298,731.63x = 412,061.27 × 177,782.64
  4. Step 4: Simplify right side
    298,731.63x = 73,257,340,422.35
  5. Step 5: Solve for x
    x = 73,257,340,422.35/298,731.63
  6. Step 6: Final answer
    x = 245,227.93

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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.