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Finding the Fourth Proportional to 300,697.92, 414,958.44 and 164,730.72

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Solution

The fourth proportional to 300,697.92, 414,958.44 and 164,730.72 is: 227,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,697.92 : 414,958.44 = 164,730.72 : x
  2. Step 2: Convert to fraction form
    300,697.92/414,958.44 = 164,730.72/x
  3. Step 3: Cross multiply
    300,697.92x = 414,958.44 × 164,730.72
  4. Step 4: Simplify right side
    300,697.92x = 68,356,402,591.28
  5. Step 5: Solve for x
    x = 68,356,402,591.28/300,697.92
  6. Step 6: Final answer
    x = 227,325.82

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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.