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Finding the Fourth Proportional to 300,695.66, 414,960.03 and 164,734.46

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Solution

The fourth proportional to 300,695.66, 414,960.03 and 164,734.46 is: 227,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,695.66 : 414,960.03 = 164,734.46 : x
  2. Step 2: Convert to fraction form
    300,695.66/414,960.03 = 164,734.46/x
  3. Step 3: Cross multiply
    300,695.66x = 414,960.03 × 164,734.46
  4. Step 4: Simplify right side
    300,695.66x = 68,358,216,463.63
  5. Step 5: Solve for x
    x = 68,358,216,463.63/300,695.66
  6. Step 6: Final answer
    x = 227,333.57

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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.