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Finding the Fourth Proportional to 298,760.34, 412,293.57 and 164,621.46

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Solution

The fourth proportional to 298,760.34, 412,293.57 and 164,621.46 is: 227,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,760.34 : 412,293.57 = 164,621.46 : x
  2. Step 2: Convert to fraction form
    298,760.34/412,293.57 = 164,621.46/x
  3. Step 3: Cross multiply
    298,760.34x = 412,293.57 × 164,621.46
  4. Step 4: Simplify right side
    298,760.34x = 67,872,369,442.01
  5. Step 5: Solve for x
    x = 67,872,369,442.01/298,760.34
  6. Step 6: Final answer
    x = 227,179.98

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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.