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Finding the Fourth Proportional to 298,811.82, 412,360.31 and 164,675.82

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Solution

The fourth proportional to 298,811.82, 412,360.31 and 164,675.82 is: 227,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,811.82 : 412,360.31 = 164,675.82 : x
  2. Step 2: Convert to fraction form
    298,811.82/412,360.31 = 164,675.82/x
  3. Step 3: Cross multiply
    298,811.82x = 412,360.31 × 164,675.82
  4. Step 4: Simplify right side
    298,811.82x = 67,905,772,184.70
  5. Step 5: Solve for x
    x = 67,905,772,184.70/298,811.82
  6. Step 6: Final answer
    x = 227,252.63

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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.