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Finding the Fourth Proportional to 300,697.16, 414,962.10 and 164,735.96

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Solution

The fourth proportional to 300,697.16, 414,962.10 and 164,735.96 is: 227,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,697.16 : 414,962.10 = 164,735.96 : x
  2. Step 2: Convert to fraction form
    300,697.16/414,962.10 = 164,735.96/x
  3. Step 3: Cross multiply
    300,697.16x = 414,962.10 × 164,735.96
  4. Step 4: Simplify right side
    300,697.16x = 68,359,179,907.12
  5. Step 5: Solve for x
    x = 68,359,179,907.12/300,697.16
  6. Step 6: Final answer
    x = 227,335.64

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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.