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Finding the Fourth Proportional to 300,697.20, 414,957.60 and 164,730.60

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Solution

The fourth proportional to 300,697.20, 414,957.60 and 164,730.60 is: 227,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,697.20 : 414,957.60 = 164,730.60 : x
  2. Step 2: Convert to fraction form
    300,697.20/414,957.60 = 164,730.60/x
  3. Step 3: Cross multiply
    300,697.20x = 414,957.60 × 164,730.60
  4. Step 4: Simplify right side
    300,697.20x = 68,356,214,422.56
  5. Step 5: Solve for x
    x = 68,356,214,422.56/300,697.20
  6. Step 6: Final answer
    x = 227,325.74

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1.5x scale

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.